2113461504 has 648 divisors, whose sum is σ = 8286048960. Its totient is φ = 520058880.

The previous prime is 2113461503. The next prime is 2113461517. The reversal of 2113461504 is 4051643112.

It is a happy number.

2113461504 is a `hidden beast` number, since 2 + 11 + 34 + 615 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113461503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 111234807 + ... + 111234825.

Almost surely, 2^2113461504 is an apocalyptic number.

2113461504 is a gapful number since it is divisible by the number (24) 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 2113461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143024480).

2113461504 is an abundant number, since it is smaller than the sum of its proper divisors (6172587456).

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

2113461504 is a wasteful number, since it uses less digits than its factorization.

2113461504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2113461504 is about 45972.3993717970. The cubic root of 2113461504 is about 1283.3096122600.

The spelling of 2113461504 in words is "two billion, one hundred thirteen million, four hundred sixty-one thousand, five hundred four".