2905661264 has 80 divisors (see below), whose sum is σ = 6461640000. Its totient is φ = 1253468160.

The previous prime is 2905661263. The next prime is 2905661281. The reversal of 2905661264 is 4621665092.

It is a happy number.

2905661264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2905661264² = 16885734762220155392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905661263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296312 + ... + 305960.

It is an arithmetic number, because the mean of its divisors is an integer number (80770500).

Almost surely, 2^2905661264 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 2905661264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3230820000).

2905661264 is an abundant number, since it is smaller than the sum of its proper divisors (3555978736).

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

2905661264 is a wasteful number, since it uses less digits than its factorization.

2905661264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9756 (or 9750 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 2905661264 is about 53904.1859599048. The cubic root of 2905661264 is about 1426.9704987544.

The spelling of 2905661264 in words is "two billion, nine hundred five million, six hundred sixty-one thousand, two hundred sixty-four".