2552868904320 has 2048 divisors, whose sum is σ = 11266283520000. Its totient is φ = 533416181760.

The previous prime is 2552868904283. The next prime is 2552868904321. The reversal of 2552868904320 is 234098682552.

2552868904320 is a `hidden beast` number, since 2 + 5 + 52 + 86 + 89 + 0 + 432 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552868904321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9084942580 + ... + 9084942860.

It is an arithmetic number, because the mean of its divisors is an integer number (5501115000).

Almost surely, 2^{2552868904320} is an apocalyptic number.

2552868904320 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 2552868904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5633141760000).

2552868904320 is an abundant number, since it is smaller than the sum of its proper divisors (8713414615680).

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

2552868904320 is a wasteful number, since it uses less digits than its factorization.

2552868904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 2552868904320 in words is "two trillion, five hundred fifty-two billion, eight hundred sixty-eight million, nine hundred four thousand, three hundred twenty".