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2501216340 = 223576079811
BaseRepresentation
bin1001010100010101…
…1000100001010100
320110022110221210020
42111011120201110
520110302410330
61052105425140
7115660662630
oct22505304124
96408427706
102501216340
111073964947
1259979b1b0
1330b266c8c
1419a289dc0
15e98bb210
hex95158854

2501216340 has 96 divisors (see below), whose sum is σ = 8017895424. Its totient is φ = 570706560.

The previous prime is 2501216309. The next prime is 2501216387. The reversal of 2501216340 is 436121052.

It is a self number, because there is not a number n which added to its sum of digits gives 2501216340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250035 + ... + 259845.

It is an arithmetic number, because the mean of its divisors is an integer number (83519744).

Almost surely, 22501216340 is an apocalyptic number.

2501216340 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 2501216340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008947712).

2501216340 is an abundant number, since it is smaller than the sum of its proper divisors (5516679084).

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

2501216340 is a wasteful number, since it uses less digits than its factorization.

2501216340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10437 (or 10435 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2501216340 is about 50012.1619208768. The cubic root of 2501216340 is about 1357.4288829248.

Adding to 2501216340 its reverse (436121052), we get a palindrome (2937337392).

The spelling of 2501216340 in words is "two billion, five hundred one million, two hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 607 1214 1821 2428 3035 3642 4249 6070 7284 8498 9105 9811 12140 12747 16996 18210 19622 21245 25494 29433 36420 39244 42490 49055 50988 58866 63735 68677 84980 98110 117732 127470 137354 147165 196220 206031 254940 274708 294330 343385 412062 588660 686770 824124 1030155 1373540 2060310 4120620 5955277 11910554 17865831 23821108 29776385 35731662 41686939 59552770 71463324 83373878 89329155 119105540 125060817 166747756 178658310 208434695 250121634 357316620 416869390 500243268 625304085 833738780 1250608170 2501216340