2501512000 has 224 divisors, whose sum is σ = 6789968640. Its totient is φ = 907315200.

The previous prime is 2501511989. The next prime is 2501512001. The reversal of 2501512000 is 2151052.

It is a super-2 number, since 2×2501512000² = 12515124572288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2501512001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6967821 + ... + 6968179.

It is an arithmetic number, because the mean of its divisors is an integer number (30312360).

Almost surely, 2^2501512000 is an apocalyptic number.

2501512000 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 2501512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394984320).

2501512000 is an abundant number, since it is smaller than the sum of its proper divisors (4288456640).

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

2501512000 is a wasteful number, since it uses less digits than its factorization.

2501512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 2501512000 is about 50015.1177145471. The cubic root of 2501512000 is about 1357.4823664513.

Adding to 2501512000 its reverse (2151052), we get a palindrome (2503663052).

The spelling of 2501512000 in words is "two billion, five hundred one million, five hundred twelve thousand".