2530263328800 has 72 divisors (see below), whose sum is σ = 8236007143056. Its totient is φ = 674736887040.

The previous prime is 2530263328787. The next prime is 2530263328823. The reversal of 2530263328800 is 88233620352.

It is a super-4 number, since 4×2530263328800⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527135794 + ... + 527140593.

It is an arithmetic number, because the mean of its divisors is an integer number (114388988098).

Almost surely, 2^{2530263328800} is an apocalyptic number.

2530263328800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2530263328800 is an abundant number, since it is smaller than the sum of its proper divisors (5705743814256).

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

2530263328800 is a wasteful number, since it uses less digits than its factorization.

2530263328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054276410 (or 1054276397 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

It can be divided in two parts, 253026 and 3328800, that added together give a triangular number (3581826 = T₂₆₇₆).

The spelling of 2530263328800 in words is "two trillion, five hundred thirty billion, two hundred sixty-three million, three hundred twenty-eight thousand, eight hundred".