2507806490112 has 2400 divisors, whose sum is σ = 10114952601600. Its totient is φ = 616954060800.

The previous prime is 2507806490107. The next prime is 2507806490171. The reversal of 2507806490112 is 2110946087052.

2507806490112 is a `hidden beast` number, since 2 + 507 + 80 + 64 + 9 + 0 + 1 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53357584873 + ... + 53357584919.

It is an arithmetic number, because the mean of its divisors is an integer number (4214563584).

Almost surely, 2^{2507806490112} is an apocalyptic number.

2507806490112 is a gapful number since it is divisible by the number (22) 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 2507806490112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057476300800).

2507806490112 is an abundant number, since it is smaller than the sum of its proper divisors (7607146111488).

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

2507806490112 is an equidigital number, since it uses as much as digits as its factorization.

2507806490112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2507806490112 in words is "two trillion, five hundred seven billion, eight hundred six million, four hundred ninety thousand, one hundred twelve".