2649787545600 has 1728 divisors, whose sum is σ = 11119488307200. Its totient is φ = 597196800000.

The previous prime is 2649787545563. The next prime is 2649787545623. The reversal of 2649787545600 is 65457879462.

2649787545600 is a `hidden beast` number, since 2 + 6 + 4 + 9 + 7 + 87 + 545 + 6 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3528345225 + ... + 3528345975.

Almost surely, 2^{2649787545600} is an apocalyptic number.

2649787545600 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 2649787545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559744153600).

2649787545600 is an abundant number, since it is smaller than the sum of its proper divisors (8469700761600).

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

2649787545600 is a wasteful number, since it uses less digits than its factorization.

2649787545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 2649787545600 in words is "two trillion, six hundred forty-nine billion, seven hundred eighty-seven million, five hundred forty-five thousand, six hundred".