2357268480 has 780 divisors, whose sum is σ = 10168798860. Its totient is φ = 520224768.

The previous prime is 2357268457. The next prime is 2357268491. The reversal of 2357268480 is 848627532.

It can be written as a sum of positive squares in 2 ways, for example, as 1040449536 + 1316818944 = 32256^2 + 36288^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 81285106 + ... + 81285134.

Almost surely, 2^2357268480 is an apocalyptic number.

2357268480 is a gapful number since it is divisible by the number (20) 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 2357268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084399430).

2357268480 is an abundant number, since it is smaller than the sum of its proper divisors (7811530380).

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

2357268480 is an equidigital number, since it uses as much as digits as its factorization.

2357268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

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

The square root of 2357268480 is about 48551.7093416905. The cubic root of 2357268480 is about 1330.8721887596.

The spelling of 2357268480 in words is "two billion, three hundred fifty-seven million, two hundred sixty-eight thousand, four hundred eighty".