2503528045200 has 2160 divisors, whose sum is σ = 11738996878336. Its totient is φ = 480544358400.

The previous prime is 2503528045171. The next prime is 2503528045253. The reversal of 2503528045200 is 25408253052.

It is a happy number.

2503528045200 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 52 + 80 + 4 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2934967974 + ... + 2934968826.

Almost surely, 2^{2503528045200} is an apocalyptic number.

2503528045200 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 2503528045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5869498439168).

2503528045200 is an abundant number, since it is smaller than the sum of its proper divisors (9235468833136).

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

2503528045200 is a wasteful number, since it uses less digits than its factorization.

2503528045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2503528045200 in words is "two trillion, five hundred three billion, five hundred twenty-eight million, forty-five thousand, two hundred".