2497868100 has 324 divisors, whose sum is σ = 9810546564. Its totient is φ = 526901760.

The previous prime is 2497868053. The next prime is 2497868119. The reversal of 2497868100 is 18687942.

2497868100 is a `hidden beast` number, since 2 + 497 + 86 + 81 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4064256 + 2493803844 = 2016^2 + 49938^2 .

It is a super-2 number, since 2×2497868100² = 12478690089995220000, which contains 22 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 571122 + ... + 575478.

Almost surely, 2^2497868100 is an apocalyptic number.

2497868100 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 2497868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905273282).

2497868100 is an abundant number, since it is smaller than the sum of its proper divisors (7312678464).

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

2497868100 is a wasteful number, since it uses less digits than its factorization.

2497868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4387 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 2497868100 is about 49978.6764530635. The cubic root of 2497868100 is about 1356.8229074553.

The spelling of 2497868100 in words is "two billion, four hundred ninety-seven million, eight hundred sixty-eight thousand, one hundred".