2504222052100 has 36 divisors (see below), whose sum is σ = 5434255755684. Its totient is φ = 1001671511680.

The previous prime is 2504222052053. The next prime is 2504222052121. The reversal of 2504222052100 is 12502224052.

It can be written as a sum of positive squares in 6 ways, for example, as 74963154436 + 2429258897664 = 273794^2 + 1558608^2 .

It is a super-2 number, since 2×2504222052100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6699342 + ... + 7063258.

It is an arithmetic number, because the mean of its divisors is an integer number (150951548769).

Almost surely, 2^{2504222052100} is an apocalyptic number.

2504222052100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2504222052100 is an abundant number, since it is smaller than the sum of its proper divisors (2930033703584).

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

2504222052100 is a wasteful number, since it uses less digits than its factorization.

2504222052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432744 (or 432737 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 2504222052100 its reverse (12502224052), we get a palindrome (2516724276152).

The spelling of 2504222052100 in words is "two trillion, five hundred four billion, two hundred twenty-two million, fifty-two thousand, one hundred".