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2680044416 = 27721373119
BaseRepresentation
bin1001111110111110…
…0011101110000000
320220202222100210022
42133233203232000
520442042410131
61121534353012
7123262000400
oct23757435600
96822870708
102680044416
1111558a7045
1262965b768
1333931a5ca
141b5d1a800
1510a44237b
hex9fbe3b80

2680044416 has 96 divisors (see below), whose sum is σ = 6258189600. Its totient is φ = 1139841024.

The previous prime is 2680044413. The next prime is 2680044431. The reversal of 2680044416 is 6144400862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680044413) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 857705 + ... + 860823.

It is an arithmetic number, because the mean of its divisors is an integer number (65189475).

Almost surely, 22680044416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129094800).

2680044416 is an abundant number, since it is smaller than the sum of its proper divisors (3578145184).

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

2680044416 is a wasteful number, since it uses less digits than its factorization.

2680044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3284 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 2680044416 is about 51769.1454053474. The cubic root of 2680044416 is about 1389.0375850906.

The spelling of 2680044416 in words is "two billion, six hundred eighty million, forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 137 196 224 274 392 448 548 784 896 959 1096 1568 1918 2192 3119 3136 3836 4384 6238 6272 6713 7672 8768 12476 13426 15344 17536 21833 24952 26852 30688 43666 49904 53704 61376 87332 99808 107408 122752 152831 174664 199616 214816 305662 349328 399232 427303 429632 611324 698656 854606 859264 1222648 1397312 1709212 2445296 2794624 2991121 3418424 4890592 5982242 6836848 9781184 11964484 13673696 19562368 20937847 23928968 27347392 41875694 47857936 54694784 83751388 95715872 167502776 191431744 335005552 382863488 670011104 1340022208 2680044416