2113774000 has 80 divisors (see below), whose sum is σ = 5504335200. Its totient is φ = 780460800.

The previous prime is 2113773989. The next prime is 2113774001. The reversal of 2113774000 is 4773112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2113774000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2113774001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14650 + ... + 66649.

It is an arithmetic number, because the mean of its divisors is an integer number (68804190).

Almost surely, 2^2113774000 is an apocalyptic number.

2113774000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113774000 is an abundant number, since it is smaller than the sum of its proper divisors (3390561200).

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

2113774000 is a wasteful number, since it uses less digits than its factorization.

2113774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81335 (or 81319 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 2113774000 is about 45975.7979811118. The cubic root of 2113774000 is about 1283.3728591113.

The spelling of 2113774000 in words is "two billion, one hundred thirteen million, seven hundred seventy-four thousand".