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2634506680 = 235139375407
BaseRepresentation
bin1001110100000111…
…0110000110111000
320210121021210202111
42131001312012320
520343413203210
61113230342104
7122166636331
oct23501660670
96717253674
102634506680
111132123953
1261635a934
1332ca652c0
141adc65288
1510644988a
hex9d0761b8

2634506680 has 64 divisors (see below), whose sum is σ = 6391607040. Its totient is φ = 971523072.

The previous prime is 2634506659. The next prime is 2634506723. The reversal of 2634506680 is 866054362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484537 + ... + 489943.

It is an arithmetic number, because the mean of its divisors is an integer number (99868860).

Almost surely, 22634506680 is an apocalyptic number.

2634506680 is a gapful number since it is divisible by the number (20) 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 2634506680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195803520).

2634506680 is an abundant number, since it is smaller than the sum of its proper divisors (3757100360).

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

2634506680 is a wasteful number, since it uses less digits than its factorization.

2634506680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 2634506680 is about 51327.4456796751. The cubic root of 2634506680 is about 1381.1253650295.

The spelling of 2634506680 in words is "two billion, six hundred thirty-four million, five hundred six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 937 1874 3748 4685 5407 7496 9370 10814 12181 18740 21628 24362 27035 37480 43256 48724 54070 60905 70291 97448 108140 121810 140582 216280 243620 281164 351455 487240 562328 702910 1405820 2811640 5066359 10132718 20265436 25331795 40530872 50663590 65862667 101327180 131725334 202654360 263450668 329313335 526901336 658626670 1317253340 2634506680