2970490320 has 480 divisors, whose sum is σ = 12011231232. Its totient is φ = 668238336.

The previous prime is 2970490301. The next prime is 2970490337. The reversal of 2970490320 is 230940792.

2970490320 is a `hidden beast` number, since 297 + 0 + 49 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11294509 + ... + 11294771.

Almost surely, 2^2970490320 is an apocalyptic number.

2970490320 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 2970490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005615616).

2970490320 is an abundant number, since it is smaller than the sum of its proper divisors (9040740912).

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

2970490320 is a wasteful number, since it uses less digits than its factorization.

2970490320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2970490320 is about 54502.2047260476. The cubic root of 2970490320 is about 1437.5050547522.

The spelling of 2970490320 in words is "two billion, nine hundred seventy million, four hundred ninety thousand, three hundred twenty".