2501023200 has 288 divisors, whose sum is σ = 9230659200. Its totient is φ = 583096320.

The previous prime is 2501023183. The next prime is 2501023279. The reversal of 2501023200 is 23201052.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2501023200.

It is a congruent number.

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, 590691 + ... + 594909.

It is an arithmetic number, because the mean of its divisors is an integer number (32050900).

Almost surely, 2^2501023200 is an apocalyptic number.

2501023200 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 2501023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615329600).

2501023200 is an abundant number, since it is smaller than the sum of its proper divisors (6729636000).

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

2501023200 is a wasteful number, since it uses less digits than its factorization.

2501023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2501023200 is about 50010.2309532760. The cubic root of 2501023200 is about 1357.3939425162.

Adding to 2501023200 its reverse (23201052), we get a palindrome (2524224252).

The spelling of 2501023200 in words is "two billion, five hundred one million, twenty-three thousand, two hundred".