2157466752 has 288 divisors, whose sum is σ = 7387835520. Its totient is φ = 614739456.

The previous prime is 2157466721. The next prime is 2157466763. The reversal of 2157466752 is 2576647512.

2157466752 is a `hidden beast` number, since 2 + 1 + 574 + 6 + 6 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2157466698 and 2157466707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5878473 + ... + 5878839.

Almost surely, 2^2157466752 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 2157466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693917760).

2157466752 is an abundant number, since it is smaller than the sum of its proper divisors (5230368768).

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

2157466752 is an frugal number, since it uses more digits than its factorization.

2157466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 379 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 2157466752 is about 46448.5387498896. The cubic root of 2157466752 is about 1292.1552721335.

The spelling of 2157466752 in words is "two billion, one hundred fifty-seven million, four hundred sixty-six thousand, seven hundred fifty-two".