2649471765120 has 384 divisors, whose sum is σ = 9278299929600. Its totient is φ = 696563712000.

The previous prime is 2649471765079. The next prime is 2649471765131. The reversal of 2649471765120 is 215671749462.

2649471765120 is a `hidden beast` number, since 2 + 6 + 49 + 471 + 7 + 6 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2649471765120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341731164 + ... + 341738916.

It is an arithmetic number, because the mean of its divisors is an integer number (24162239400).

Almost surely, 2^{2649471765120} is an apocalyptic number.

2649471765120 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 2649471765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639149964800).

2649471765120 is an abundant number, since it is smaller than the sum of its proper divisors (6628828164480).

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

2649471765120 is a wasteful number, since it uses less digits than its factorization.

2649471765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8608 (or 8593 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2649471765120 in words is "two trillion, six hundred forty-nine billion, four hundred seventy-one million, seven hundred sixty-five thousand, one hundred twenty".