2956204592640 has 480 divisors, whose sum is σ = 11294686218816. Its totient is φ = 709929861120.

The previous prime is 2956204592611. The next prime is 2956204592641. The reversal of 2956204592640 is 462954026592.

2956204592640 is a `hidden beast` number, since 2 + 9 + 5 + 6 + 2 + 0 + 4 + 592 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2956204592641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12159957 + ... + 12400683.

Almost surely, 2^{2956204592640} is an apocalyptic number.

2956204592640 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 2956204592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647343109408).

2956204592640 is an abundant number, since it is smaller than the sum of its proper divisors (8338481626176).

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

2956204592640 is a wasteful number, since it uses less digits than its factorization.

2956204592640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240810 (or 240791 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 2956204592640 in words is "two trillion, nine hundred fifty-six billion, two hundred four million, five hundred ninety-two thousand, six hundred forty".