2649620736 has 216 divisors, whose sum is σ = 8946048384. Its totient is φ = 738385920.

The previous prime is 2649620657. The next prime is 2649620759. The reversal of 2649620736 is 6370269462.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2649620691 and 2649620700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659245 + ... + 663251.

Almost surely, 2^2649620736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2649620736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4473024192).

2649620736 is an abundant number, since it is smaller than the sum of its proper divisors (6296427648).

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

2649620736 is a wasteful number, since it uses less digits than its factorization.

2649620736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2649620736 is about 51474.4668355098. The cubic root of 2649620736 is about 1383.7614833936.

The spelling of 2649620736 in words is "two billion, six hundred forty-nine million, six hundred twenty thousand, seven hundred thirty-six".