2573957409408 has 1280 divisors, whose sum is σ = 9833157734400. Its totient is φ = 649003622400.

The previous prime is 2573957409349. The next prime is 2573957409437. The reversal of 2573957409408 is 8049047593752.

2573957409408 is a `hidden beast` number, since 2 + 5 + 73 + 95 + 74 + 0 + 9 + 408 = 666.

It is a super-3 number, since 3×2573957409408³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6791444163 + ... + 6791444541.

It is an arithmetic number, because the mean of its divisors is an integer number (7682154480).

Almost surely, 2^{2573957409408} is an apocalyptic number.

2573957409408 is a gapful number since it is divisible by the number (28) 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 2573957409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916578867200).

2573957409408 is an abundant number, since it is smaller than the sum of its proper divisors (7259200324992).

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

2573957409408 is a wasteful number, since it uses less digits than its factorization.

2573957409408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 2573957409408 in words is "two trillion, five hundred seventy-three billion, nine hundred fifty-seven million, four hundred nine thousand, four hundred eight".