2505245100 has 144 divisors (see below), whose sum is σ = 7635344640. Its totient is φ = 632966400.

The previous prime is 2505245063. The next prime is 2505245111. The reversal of 2505245100 is 15425052.

It is a happy number.

It is a super-2 number, since 2×2505245100² = 12552506022148020000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 750435 + ... + 753765.

Almost surely, 2^2505245100 is an apocalyptic number.

2505245100 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 2505245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3817672320).

2505245100 is an abundant number, since it is smaller than the sum of its proper divisors (5130099540).

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

2505245100 is a wasteful number, since it uses less digits than its factorization.

2505245100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2505245100 is about 50052.4235177479. The cubic root of 2505245100 is about 1358.1573047346.

The spelling of 2505245100 in words is "two billion, five hundred five million, two hundred forty-five thousand, one hundred".