2649435070464 has 2240 divisors, whose sum is σ = 10790289417600. Its totient is φ = 627836977152.

The previous prime is 2649435070453. The next prime is 2649435070531. The reversal of 2649435070464 is 4640705349462.

2649435070464 is a `hidden beast` number, since 2 + 6 + 4 + 94 + 3 + 507 + 0 + 46 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2649435070464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29768933332 + ... + 29768933420.

It is an arithmetic number, because the mean of its divisors is an integer number (4817093490).

Almost surely, 2^{2649435070464} is an apocalyptic number.

2649435070464 is a gapful number since it is divisible by the number (24) 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 2649435070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395144708800).

2649435070464 is an abundant number, since it is smaller than the sum of its proper divisors (8140854347136).

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

2649435070464 is a wasteful number, since it uses less digits than its factorization.

2649435070464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 2649435070464 in words is "two trillion, six hundred forty-nine billion, four hundred thirty-five million, seventy thousand, four hundred sixty-four".