2164849920 has 108 divisors (see below), whose sum is σ = 7490195076. Its totient is φ = 577290240.

The previous prime is 2164849879. The next prime is 2164849943. The reversal of 2164849920 is 299484612.

It can be written as a sum of positive squares in 2 ways, for example, as 535274496 + 1629575424 = 23136^2 + 40368^2 .

It is a super-2 number, since 2×2164849920² = 9373150352248012800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82441 + ... + 105480.

Almost surely, 2^2164849920 is an apocalyptic number.

2164849920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164849920 is an abundant number, since it is smaller than the sum of its proper divisors (5325345156).

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

2164849920 is a wasteful number, since it uses less digits than its factorization.

2164849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187948 (or 187931 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2164849920 is about 46527.9477303695. The cubic root of 2164849920 is about 1293.6275756172.

The spelling of 2164849920 in words is "two billion, one hundred sixty-four million, eight hundred forty-nine thousand, nine hundred twenty".