2528904233520 has 2400 divisors, whose sum is σ = 11320265932800. Its totient is φ = 522338181120.

The previous prime is 2528904233519. The next prime is 2528904233549. The reversal of 2528904233520 is 253324098252.

2528904233520 is a `hidden beast` number, since 2 + 5 + 2 + 8 + 90 + 4 + 2 + 33 + 520 = 666.

It is a super-3 number, since 3×2528904233520³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19912631697 + ... + 19912631823.

It is an arithmetic number, because the mean of its divisors is an integer number (4716777472).

Almost surely, 2^{2528904233520} is an apocalyptic number.

2528904233520 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 2528904233520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660132966400).

2528904233520 is an abundant number, since it is smaller than the sum of its proper divisors (8791361699280).

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

2528904233520 is a wasteful number, since it uses less digits than its factorization.

2528904233520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2528904233520 in words is "two trillion, five hundred twenty-eight billion, nine hundred four million, two hundred thirty-three thousand, five hundred twenty".