2158674624 has 280 divisors, whose sum is σ = 6738122160. Its totient is φ = 682407936.

The previous prime is 2158674611. The next prime is 2158674643. The reversal of 2158674624 is 4264768512.

2158674624 is a `hidden beast` number, since 2 + 1 + 586 + 7 + 4 + 62 + 4 = 666.

It is a super-2 number, since 2×2158674624² = 9319752264603082752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2158674624.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12477802 + ... + 12477974.

It is an arithmetic number, because the mean of its divisors is an integer number (24064722).

Almost surely, 2^2158674624 is an apocalyptic number.

2158674624 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 2158674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369061080).

2158674624 is an abundant number, since it is smaller than the sum of its proper divisors (4579447536).

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

2158674624 is a wasteful number, since it uses less digits than its factorization.

2158674624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2158674624 is about 46461.5391910341. The cubic root of 2158674624 is about 1292.3963676985.

The spelling of 2158674624 in words is "two billion, one hundred fifty-eight million, six hundred seventy-four thousand, six hundred twenty-four".