2646377976 has 256 divisors, whose sum is σ = 7838208000. Its totient is φ = 736609280.

The previous prime is 2646377941. The next prime is 2646377989. The reversal of 2646377976 is 6797736462.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29734540 + ... + 29734628.

It is an arithmetic number, because the mean of its divisors is an integer number (30618000).

Almost surely, 2^2646377976 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 2646377976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

2646377976 is an abundant number, since it is smaller than the sum of its proper divisors (5191830024).

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

2646377976 is a wasteful number, since it uses less digits than its factorization.

2646377976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 57.

The square root of 2646377976 is about 51442.9584685795. The cubic root of 2646377976 is about 1383.1967436756.

The spelling of 2646377976 in words is "two billion, six hundred forty-six million, three hundred seventy-seven thousand, nine hundred seventy-six".