2501890500 has 192 divisors, whose sum is σ = 7564677120. Its totient is φ = 642096000.

The previous prime is 2501890499. The next prime is 2501890553. The reversal of 2501890500 is 50981052.

2501890500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5095255 + ... + 5095745.

It is an arithmetic number, because the mean of its divisors is an integer number (39399360).

Almost surely, 2^2501890500 is an apocalyptic number.

2501890500 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 2501890500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782338560).

2501890500 is an abundant number, since it is smaller than the sum of its proper divisors (5062786620).

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

2501890500 is a wasteful number, since it uses less digits than its factorization.

2501890500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 2501890500 is about 50018.9014273604. The cubic root of 2501890500 is about 1357.5508292001.

The spelling of 2501890500 in words is "two billion, five hundred one million, eight hundred ninety thousand, five hundred".