2651940960 has 384 divisors, whose sum is σ = 9376819200. Its totient is φ = 627056640.

The previous prime is 2651940953. The next prime is 2651940971. The reversal of 2651940960 is 690491562.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9785625 + ... + 9785895.

It is an arithmetic number, because the mean of its divisors is an integer number (24418800).

Almost surely, 2^2651940960 is an apocalyptic number.

2651940960 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 2651940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2651940960 is an abundant number, since it is smaller than the sum of its proper divisors (6724878240).

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

2651940960 is a wasteful number, since it uses less digits than its factorization.

2651940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2651940960 is about 51496.9995242441. Note that the first 3 decimals coincide. The cubic root of 2651940960 is about 1384.1652770197.

The spelling of 2651940960 in words is "two billion, six hundred fifty-one million, nine hundred forty thousand, nine hundred sixty".