2355842880 has 280 divisors, whose sum is σ = 8475576648. Its totient is φ = 621084672.

The previous prime is 2355842857. The next prime is 2355842911. The reversal of 2355842880 is 882485532.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 2354966784 = 936^2 + 48528^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 2513772 + ... + 2514708.

Almost surely, 2^2355842880 is an apocalyptic number.

2355842880 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 2355842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237788324).

2355842880 is an abundant number, since it is smaller than the sum of its proper divisors (6119733768).

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

2355842880 is an equidigital number, since it uses as much as digits as its factorization.

2355842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 2355842880 is about 48537.0258668576. The cubic root of 2355842880 is about 1330.6038451223.

The spelling of 2355842880 in words is "two billion, three hundred fifty-five million, eight hundred forty-two thousand, eight hundred eighty".