1984724640 has 96 divisors (see below), whose sum is σ = 6946551360. Its totient is φ = 529258752.

The previous prime is 1984724627. The next prime is 1984724669. The reversal of 1984724640 is 464274891.

1984724640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1984724640³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225394 + ... + 234033.

It is an arithmetic number, because the mean of its divisors is an integer number (72359910).

Almost surely, 2^1984724640 is an apocalyptic number.

1984724640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1984724640 is an abundant number, since it is smaller than the sum of its proper divisors (4961826720).

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

1984724640 is a wasteful number, since it uses less digits than its factorization.

1984724640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459451 (or 459437 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1984724640 is about 44550.2484841555. The cubic root of 1984724640 is about 1256.7052241951.

The spelling of 1984724640 in words is "one billion, nine hundred eighty-four million, seven hundred twenty-four thousand, six hundred forty".