2147483920 has 20 divisors (see below), whose sum is σ = 4992900300. Its totient is φ = 858993536.

The previous prime is 2147483893. The next prime is 2147483929. The reversal of 2147483920 is 293847412.

It can be written as a sum of positive squares in 2 ways, for example, as 319408384 + 1828075536 = 17872^2 + 42756^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2147483920² = 9223374373317132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2147483929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13421695 + ... + 13421854.

It is an arithmetic number, because the mean of its divisors is an integer number (249645015).

Almost surely, 2^2147483920 is an apocalyptic number.

2147483920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2147483920 is an abundant number, since it is smaller than the sum of its proper divisors (2845416380).

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

2147483920 is a wasteful number, since it uses less digits than its factorization.

2147483920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26843562 (or 26843556 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 2147483920 is about 46340.9529466108. The cubic root of 2147483920 is about 1290.1592095628.

The spelling of 2147483920 in words is "two billion, one hundred forty-seven million, four hundred eighty-three thousand, nine hundred twenty".