2501550400000 has 120 divisors (see below), whose sum is σ = 6247372837860. Its totient is φ = 1000619520000.

The previous prime is 2501550399883. The next prime is 2501550400039. The reversal of 2501550400000 is 40551052.

It can be written as a sum of positive squares in 6 ways, for example, as 964386849024 + 1537163550976 = 982032^2 + 1239824^2 .

It is a super-3 number, since 3×2501550400000³ (a number of 38 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 818266 + ... + 2381734.

Almost surely, 2^{2501550400000} is an apocalyptic number.

2501550400000 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 2501550400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123686418930).

2501550400000 is an abundant number, since it is smaller than the sum of its proper divisors (3745822437860).

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

2501550400000 is an frugal number, since it uses more digits than its factorization.

2501550400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563512 (or 1563476 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

Adding to 2501550400000 its reverse (40551052), we get a palindrome (2501590951052).

The spelling of 2501550400000 in words is "two trillion, five hundred one billion, five hundred fifty million, four hundred thousand".