2649725971200 has 2592 divisors, whose sum is σ = 12656951903232. Its totient is φ = 511967232000.

The previous prime is 2649725971177. The next prime is 2649725971213. The reversal of 2649725971200 is 21795279462.

2649725971200 is a `hidden beast` number, since 2 + 6 + 49 + 7 + 2 + 597 + 1 + 2 + 0 + 0 = 666.

It is a super-4 number, since 4×2649725971200⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8520019045 + ... + 8520019355.

It is an arithmetic number, because the mean of its divisors is an integer number (4883083296).

Almost surely, 2^{2649725971200} is an apocalyptic number.

2649725971200 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 2649725971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328475951616).

2649725971200 is an abundant number, since it is smaller than the sum of its proper divisors (10007225932032).

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

2649725971200 is a wasteful number, since it uses less digits than its factorization.

2649725971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 2649725971200 in words is "two trillion, six hundred forty-nine billion, seven hundred twenty-five million, nine hundred seventy-one thousand, two hundred".