2575208785464 has 288 divisors, whose sum is σ = 8739074672640. Its totient is φ = 681080400000.

The previous prime is 2575208785399. The next prime is 2575208785469. The reversal of 2575208785464 is 4645878025752.

2575208785464 is a `hidden beast` number, since 2 + 5 + 7 + 5 + 2 + 0 + 87 + 8 + 546 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575208785469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2003589 + ... + 3027339.

It is an arithmetic number, because the mean of its divisors is an integer number (30344009280).

Almost surely, 2^{2575208785464} is an apocalyptic number.

2575208785464 is a gapful number since it is divisible by the number (24) 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 2575208785464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369537336320).

2575208785464 is an abundant number, since it is smaller than the sum of its proper divisors (6163865887176).

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

2575208785464 is a wasteful number, since it uses less digits than its factorization.

2575208785464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023831 (or 1023817 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 63.

The spelling of 2575208785464 in words is "two trillion, five hundred seventy-five billion, two hundred eight million, seven hundred eighty-five thousand, four hundred sixty-four".