2113767360 has 224 divisors, whose sum is σ = 7488936000. Its totient is φ = 561254400.

The previous prime is 2113767353. The next prime is 2113767401. The reversal of 2113767360 is 637673112.

2113767360 is a `hidden beast` number, since 211 + 376 + 73 + 6 + 0 = 666.

It is a super-3 number, since 3×2113767360³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3015010 + ... + 3015710.

It is an arithmetic number, because the mean of its divisors is an integer number (33432750).

Almost surely, 2^2113767360 is an apocalyptic number.

2113767360 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 2113767360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744468000).

2113767360 is an abundant number, since it is smaller than the sum of its proper divisors (5375168640).

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

2113767360 is a wasteful number, since it uses less digits than its factorization.

2113767360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 2113767360 is about 45975.7257691491. The cubic root of 2113767360 is about 1283.3715152898.

The spelling of 2113767360 in words is "two billion, one hundred thirteen million, seven hundred sixty-seven thousand, three hundred sixty".