2971140480 has 1152 divisors, whose sum is σ = 13918716000. Its totient is φ = 596090880.

The previous prime is 2971140449. The next prime is 2971140547. The reversal of 2971140480 is 840411792.

It is a tau number, because it is divible by the number of its divisors (1152).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102453106 + ... + 102453134.

Almost surely, 2^2971140480 is an apocalyptic number.

2971140480 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 2971140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6959358000).

2971140480 is an abundant number, since it is smaller than the sum of its proper divisors (10947575520).

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

2971140480 is a wasteful number, since it uses less digits than its factorization.

2971140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2971140480 is about 54508.1689290697. The cubic root of 2971140480 is about 1437.6099240956.

The spelling of 2971140480 in words is "two billion, nine hundred seventy-one million, one hundred forty thousand, four hundred eighty".