2970481920 has 216 divisors, whose sum is σ = 11036569824. Its totient is φ = 678924288.

The previous prime is 2970481903. The next prime is 2970481933. The reversal of 2970481920 is 291840792.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 23 ways as a sum of consecutive naturals, for example, 180267 + ... + 196053.

Almost surely, 2^2970481920 is an apocalyptic number.

2970481920 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 2970481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518284912).

2970481920 is an abundant number, since it is smaller than the sum of its proper divisors (8066087904).

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

2970481920 is a wasteful number, since it uses less digits than its factorization.

2970481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15825 (or 15804 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2970481920 is about 54502.1276648903. The cubic root of 2970481920 is about 1437.5036997510.

The spelling of 2970481920 in words is "two billion, nine hundred seventy million, four hundred eighty-one thousand, nine hundred twenty".