2538623203200 has 1440 divisors, whose sum is σ = 11011017738600. Its totient is φ = 574221312000.

The previous prime is 2538623203189. The next prime is 2538623203219. The reversal of 2538623203200 is 23023268352.

2538623203200 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 6 + 2 + 320 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1282779811 + ... + 1282781789.

Almost surely, 2^{2538623203200} is an apocalyptic number.

2538623203200 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 2538623203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505508869300).

2538623203200 is an abundant number, since it is smaller than the sum of its proper divisors (8472394535400).

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

2538623203200 is a wasteful number, since it uses less digits than its factorization.

2538623203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2538623203200 in words is "two trillion, five hundred thirty-eight billion, six hundred twenty-three million, two hundred three thousand, two hundred".