2656472797440 has 3888 divisors, whose sum is σ = 13053463113600. Its totient is φ = 494585118720.

The previous prime is 2656472797411. The next prime is 2656472797469. The reversal of 2656472797440 is 447972746562.

2656472797440 is a `hidden beast` number, since 2 + 6 + 56 + 4 + 72 + 79 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2656472797411) and next prime (2656472797469).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 29848008916 + ... + 29848009004.

It is an arithmetic number, because the mean of its divisors is an integer number (3357372200).

Almost surely, 2^{2656472797440} is an apocalyptic number.

2656472797440 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 2656472797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526731556800).

2656472797440 is an abundant number, since it is smaller than the sum of its proper divisors (10396990316160).

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

2656472797440 is a wasteful number, since it uses less digits than its factorization.

2656472797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 142248960, while the sum is 63.

The spelling of 2656472797440 in words is "two trillion, six hundred fifty-six billion, four hundred seventy-two million, seven hundred ninety-seven thousand, four hundred forty".