2983578240 has 64 divisors (see below), whose sum is σ = 9510161760. Its totient is φ = 795620352.

The previous prime is 2983578233. The next prime is 2983578289. The reversal of 2983578240 is 428753892.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2983578240² = 17803478228402995200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2983578240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775054 + ... + 778893.

Almost surely, 2^2983578240 is an apocalyptic number.

2983578240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2983578240 is an abundant number, since it is smaller than the sum of its proper divisors (6526583520).

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

2983578240 is a wasteful number, since it uses less digits than its factorization.

2983578240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1553969 (or 1553957 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 2983578240 is about 54622.1405658914. The cubic root of 2983578240 is about 1439.6131676981.

The spelling of 2983578240 in words is "two billion, nine hundred eighty-three million, five hundred seventy-eight thousand, two hundred forty".