2956016440 has 128 divisors (see below), whose sum is σ = 7646607360. Its totient is φ = 1018773504.

The previous prime is 2956016431. The next prime is 2956016477. The reversal of 2956016440 is 446106592.

It is a self number, because there is not a number n which added to its sum of digits gives 2956016440.

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, 1121364 + ... + 1123996.

It is an arithmetic number, because the mean of its divisors is an integer number (59739120).

Almost surely, 2^2956016440 is an apocalyptic number.

2956016440 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 2956016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823303680).

2956016440 is an abundant number, since it is smaller than the sum of its proper divisors (4690590920).

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

2956016440 is a wasteful number, since it uses less digits than its factorization.

2956016440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2956016440 is about 54369.2600648565. The cubic root of 2956016440 is about 1435.1664777903.

The spelling of 2956016440 in words is "two billion, nine hundred fifty-six million, sixteen thousand, four hundred forty".