2649572674560 has 880 divisors, whose sum is σ = 10883834413056. Its totient is φ = 603781890048.

The previous prime is 2649572674559. The next prime is 2649572674561. The reversal of 2649572674560 is 654762759462.

2649572674560 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 5 + 7 + 2 + 67 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2649572674559) and next prime (2649572674561).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2649572674561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1111863129 + ... + 1111865511.

Almost surely, 2^{2649572674560} is an apocalyptic number.

2649572674560 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 2649572674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441917206528).

2649572674560 is an abundant number, since it is smaller than the sum of its proper divisors (8234261738496).

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

2649572674560 is a wasteful number, since it uses less digits than its factorization.

2649572674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 2649572674560 in words is "two trillion, six hundred forty-nine billion, five hundred seventy-two million, six hundred seventy-four thousand, five hundred sixty".