2940408768 has 112 divisors (see below), whose sum is σ = 8607064320. Its totient is φ = 878438400.

The previous prime is 2940408749. The next prime is 2940408773. The reversal of 2940408768 is 8678040492.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140148 + ... + 159756.

Almost surely, 2^2940408768 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 2940408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303532160).

2940408768 is an abundant number, since it is smaller than the sum of its proper divisors (5666655552).

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

2940408768 is a wasteful number, since it uses less digits than its factorization.

2940408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19706 (or 19696 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 2940408768 is about 54225.5361245972. The cubic root of 2940408768 is about 1432.6361415280.

The spelling of 2940408768 in words is "two billion, nine hundred forty million, four hundred eight thousand, seven hundred sixty-eight".