2922978240 has 672 divisors, whose sum is σ = 13047390720. Its totient is φ = 583262208.

The previous prime is 2922978211. The next prime is 2922978257. The reversal of 2922978240 is 428792292.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979227 + ... + 4979813.

It is an arithmetic number, because the mean of its divisors is an integer number (19415760).

Almost surely, 2^2922978240 is an apocalyptic number.

2922978240 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 2922978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523695360).

2922978240 is an abundant number, since it is smaller than the sum of its proper divisors (10124412480).

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

2922978240 is a wasteful number, since it uses less digits than its factorization.

2922978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2922978240 is about 54064.5747231956. The cubic root of 2922978240 is about 1429.7996752653.

The spelling of 2922978240 in words is "two billion, nine hundred twenty-two million, nine hundred seventy-eight thousand, two hundred forty".