2575648601344 has 288 divisors, whose sum is σ = 6446495268864. Its totient is φ = 999938580480.

The previous prime is 2575648601311. The next prime is 2575648601353. The reversal of 2575648601344 is 4431068465752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368842077 + ... + 368849059.

It is an arithmetic number, because the mean of its divisors is an integer number (22383664128).

Almost surely, 2^{2575648601344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2575648601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223247634432).

2575648601344 is an abundant number, since it is smaller than the sum of its proper divisors (3870846667520).

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

2575648601344 is a wasteful number, since it uses less digits than its factorization.

2575648601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

The spelling of 2575648601344 in words is "two trillion, five hundred seventy-five billion, six hundred forty-eight million, six hundred one thousand, three hundred forty-four".