2972460480 has 448 divisors, whose sum is σ = 10807769088. Its totient is φ = 685834240.

The previous prime is 2972460479. The next prime is 2972460497. The reversal of 2972460480 is 840642792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26304904 + ... + 26305016.

Almost surely, 2^2972460480 is an apocalyptic number.

2972460480 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 2972460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5403884544).

2972460480 is an abundant number, since it is smaller than the sum of its proper divisors (7835308608).

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

2972460480 is a wasteful number, since it uses less digits than its factorization.

2972460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2972460480 is about 54520.2758613711. The cubic root of 2972460480 is about 1437.8227900705.

The spelling of 2972460480 in words is "two billion, nine hundred seventy-two million, four hundred sixty thousand, four hundred eighty".