2118049920 has 384 divisors, whose sum is σ = 8443543680. Its totient is φ = 479232000.

The previous prime is 2118049903. The next prime is 2118049937. The reversal of 2118049920 is 299408112.

It is an interprime number because it is at equal distance from previous prime (2118049903) and next prime (2118049937).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2118049920² = 8972270927224012800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5281720 + ... + 5282120.

It is an arithmetic number, because the mean of its divisors is an integer number (21988395).

Almost surely, 2^2118049920 is an apocalyptic number.

2118049920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2118049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221771840).

2118049920 is an abundant number, since it is smaller than the sum of its proper divisors (6325493760).

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

2118049920 is a wasteful number, since it uses less digits than its factorization.

2118049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 2118049920 is about 46022.2763452657. The cubic root of 2118049920 is about 1284.2376478051.

The spelling of 2118049920 in words is "two billion, one hundred eighteen million, forty-nine thousand, nine hundred twenty".