2970132480 has 336 divisors, whose sum is σ = 11776886784. Its totient is φ = 678297600.

The previous prime is 2970132479. The next prime is 2970132481. The reversal of 2970132480 is 842310792.

It is an interprime number because it is at equal distance from previous prime (2970132479) and next prime (2970132481).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (2970132481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579905 + ... + 2581055.

Almost surely, 2^2970132480 is an apocalyptic number.

2970132480 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 2970132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888443392).

2970132480 is an abundant number, since it is smaller than the sum of its proper divisors (8806754304).

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

2970132480 is a wasteful number, since it uses less digits than its factorization.

2970132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2970132480 is about 54498.9218241976. The cubic root of 2970132480 is about 1437.4473294375.

The spelling of 2970132480 in words is "two billion, nine hundred seventy million, one hundred thirty-two thousand, four hundred eighty".