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2694006864 = 24351740759
BaseRepresentation
bin1010000010010011…
…0100100001010000
320221202020201200000
42200210310201100
521004131204424
61123153530000
7123521452263
oct24044644120
96852221600
102694006864
11116277325a
12632273900
1333c198903
141b7b12cda
1510b79e3c9
hexa0934850

2694006864 has 120 divisors (see below), whose sum is σ = 8278845120. Its totient is φ = 845157888.

The previous prime is 2694006829. The next prime is 2694006893. The reversal of 2694006864 is 4686004962.

It is a super-2 number, since 2×26940068642 = 14515345966558228992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45717 + ... + 86475.

It is an arithmetic number, because the mean of its divisors is an integer number (68990376).

Almost surely, 22694006864 is an apocalyptic number.

2694006864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2694006864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139422560).

2694006864 is an abundant number, since it is smaller than the sum of its proper divisors (5584838256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2694006864 is a wasteful number, since it uses less digits than its factorization.

2694006864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40799 (or 40781 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2694006864 is about 51903.8232117828. The cubic root of 2694006864 is about 1391.4456026518.

The spelling of 2694006864 in words is "two billion, six hundred ninety-four million, six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1836 1944 2448 2754 3672 3888 4131 5508 7344 8262 11016 16524 22032 33048 40759 66096 81518 122277 163036 244554 326072 366831 489108 652144 692903 733662 978216 1100493 1385806 1467324 1956432 2078709 2200986 2771612 2934648 3301479 4157418 4401972 5543224 5869296 6236127 6602958 8314836 8803944 9904437 11086448 12472254 13205916 16629672 17607888 18708381 19808874 24944508 26411832 33259344 37416762 39617748 49889016 52823664 56125143 74833524 79235496 99778032 112250286 149667048 158470992 168375429 224500572 299334096 336750858 449001144 673501716 898002288 1347003432 2694006864