2413693152 has 216 divisors, whose sum is σ = 7521427368. Its totient is φ = 733824000.

The previous prime is 2413693151. The next prime is 2413693159. The reversal of 2413693152 is 2513963142.

2413693152 is a `hidden beast` number, since 2 + 413 + 6 + 93 + 152 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413693151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4915627 + ... + 4916117.

It is an arithmetic number, because the mean of its divisors is an integer number (34821423).

Almost surely, 2^2413693152 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 2413693152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760713684).

2413693152 is an abundant number, since it is smaller than the sum of its proper divisors (5107734216).

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

2413693152 is a wasteful number, since it uses less digits than its factorization.

2413693152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 610 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 2413693152 is about 49129.3512271432. The cubic root of 2413693152 is about 1341.4073637240.

The spelling of 2413693152 in words is "two billion, four hundred thirteen million, six hundred ninety-three thousand, one hundred fifty-two".