2871496320 has 256 divisors, whose sum is σ = 11411988480. Its totient is φ = 596643840.

The previous prime is 2871496307. The next prime is 2871496321. The reversal of 2871496320 is 236941782.

It is a super-2 number, since 2×2871496320² = 16490982231547084800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2871496321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138129 + ... + 157551.

It is an arithmetic number, because the mean of its divisors is an integer number (44578080).

Almost surely, 2^2871496320 is an apocalyptic number.

2871496320 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 2871496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5705994240).

2871496320 is an abundant number, since it is smaller than the sum of its proper divisors (8540492160).

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

2871496320 is a wasteful number, since it uses less digits than its factorization.

2871496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19463 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2871496320 is about 53586.3445291802. The cubic root of 2871496320 is about 1421.3556319422.

The spelling of 2871496320 in words is "two billion, eight hundred seventy-one million, four hundred ninety-six thousand, three hundred twenty".