2612458404 has 144 divisors (see below), whose sum is σ = 7146921600. Its totient is φ = 802593792.

The previous prime is 2612458397. The next prime is 2612458411. The reversal of 2612458404 is 4048542162.

2612458404 is a `hidden beast` number, since 2 + 6 + 1 + 245 + 8 + 404 = 666.

It is an interprime number because it is at equal distance from previous prime (2612458397) and next prime (2612458411).

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

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 47 ways as a sum of consecutive naturals, for example, 2588652 + ... + 2589660.

It is an arithmetic number, because the mean of its divisors is an integer number (49631400).

Almost surely, 2^2612458404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612458404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573460800).

2612458404 is an abundant number, since it is smaller than the sum of its proper divisors (4534463196).

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

2612458404 is a wasteful number, since it uses less digits than its factorization.

2612458404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2612458404 is about 51112.2138436597. The cubic root of 2612458404 is about 1377.2616713885.

The spelling of 2612458404 in words is "two billion, six hundred twelve million, four hundred fifty-eight thousand, four hundred four".