2549007636912 has 320 divisors, whose sum is σ = 8058984192000. Its totient is φ = 764987040000.

The previous prime is 2549007636869. The next prime is 2549007636919. The reversal of 2549007636912 is 2196367009452.

2549007636912 is a `hidden beast` number, since 2 + 5 + 490 + 0 + 7 + 63 + 6 + 91 + 2 = 666.

2549007636912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2549007636919) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213496639 + ... + 213508577.

It is an arithmetic number, because the mean of its divisors is an integer number (25184325600).

Almost surely, 2^{2549007636912} is an apocalyptic number.

2549007636912 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 2549007636912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029492096000).

2549007636912 is an abundant number, since it is smaller than the sum of its proper divisors (5509976555088).

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

2549007636912 is a wasteful number, since it uses less digits than its factorization.

2549007636912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12397 (or 12385 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2549007636912 in words is "two trillion, five hundred forty-nine billion, seven million, six hundred thirty-six thousand, nine hundred twelve".