2984575440 has 160 divisors (see below), whose sum is σ = 11535261696. Its totient is φ = 620167680.

The previous prime is 2984575411. The next prime is 2984575441. The reversal of 2984575440 is 445754892.

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 2984575440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984575441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62272 + ... + 99231.

Almost surely, 2^2984575440 is an apocalyptic number.

2984575440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2984575440 is an abundant number, since it is smaller than the sum of its proper divisors (8550686256).

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

2984575440 is a wasteful number, since it uses less digits than its factorization.

2984575440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161537 (or 161531 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 2984575440 is about 54631.2679699090. The cubic root of 2984575440 is about 1439.7735369178.

The spelling of 2984575440 in words is "two billion, nine hundred eighty-four million, five hundred seventy-five thousand, four hundred forty".