2620470560400 has 1800 divisors, whose sum is σ = 12126809673792. Its totient is φ = 526466304000.

The previous prime is 2620470560347. The next prime is 2620470560423. The reversal of 2620470560400 is 40650740262.

2620470560400 is a `hidden beast` number, since 2 + 6 + 2 + 0 + 47 + 0 + 5 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2397502254 + ... + 2397503346.

Almost surely, 2^{2620470560400} is an apocalyptic number.

2620470560400 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 2620470560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063404836896).

2620470560400 is an abundant number, since it is smaller than the sum of its proper divisors (9506339113392).

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

2620470560400 is a wasteful number, since it uses less digits than its factorization.

2620470560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2620470560400 in words is "two trillion, six hundred twenty billion, four hundred seventy million, five hundred sixty thousand, four hundred".