2502028100 has 216 divisors, whose sum is σ = 6583766112. Its totient is φ = 817689600.

The previous prime is 2502028079. The next prime is 2502028103. The reversal of 2502028100 is 18202052.

It is a super-2 number, since 2×2502028100² = 12520289226379220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2502028103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7993544 + ... + 7993856.

Almost surely, 2^2502028100 is an apocalyptic number.

2502028100 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 2502028100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291883056).

2502028100 is an abundant number, since it is smaller than the sum of its proper divisors (4081738012).

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

2502028100 is a wasteful number, since it uses less digits than its factorization.

2502028100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2502028100 is about 50020.2768884779. The cubic root of 2502028100 is about 1357.5757164564.

The spelling of 2502028100 in words is "two billion, five hundred two million, twenty-eight thousand, one hundred".