2501058920 has 128 divisors (see below), whose sum is σ = 6193152000. Its totient is φ = 905437440.

The previous prime is 2501058899. The next prime is 2501058941. The reversal of 2501058920 is 298501052.

It is an interprime number because it is at equal distance from previous prime (2501058899) and next prime (2501058941).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1954841 + ... + 1956119.

It is an arithmetic number, because the mean of its divisors is an integer number (48384000).

Almost surely, 2^2501058920 is an apocalyptic number.

2501058920 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 2501058920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096576000).

2501058920 is an abundant number, since it is smaller than the sum of its proper divisors (3692093080).

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

2501058920 is a wasteful number, since it uses less digits than its factorization.

2501058920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 2501058920 is about 50010.5880789258. The cubic root of 2501058920 is about 1357.4004046555.

Adding to 2501058920 its reverse (298501052), we get a palindrome (2799559972).

The spelling of 2501058920 in words is "two billion, five hundred one million, fifty-eight thousand, nine hundred twenty".