2976440320 has 168 divisors, whose sum is σ = 8314831224. Its totient is φ = 1019805696.

The previous prime is 2976440309. The next prime is 2976440329. The reversal of 2976440320 is 230446792.

It is a self number, because there is not a number n which added to its sum of digits gives 2976440320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976440329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2006299 + ... + 2007781.

It is an arithmetic number, because the mean of its divisors is an integer number (49493043).

Almost surely, 2^2976440320 is an apocalyptic number.

2976440320 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 2976440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157415612).

2976440320 is an abundant number, since it is smaller than the sum of its proper divisors (5338390904).

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

2976440320 is an equidigital number, since it uses as much as digits as its factorization.

2976440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 2976440320 is about 54556.7623672813. The cubic root of 2976440320 is about 1438.4642062437.

The spelling of 2976440320 in words is "two billion, nine hundred seventy-six million, four hundred forty thousand, three hundred twenty".