2347742880 has 360 divisors, whose sum is σ = 9640930068. Its totient is φ = 536481792.

The previous prime is 2347742869. The next prime is 2347742899. The reversal of 2347742880 is 882477432.

It can be written as a sum of positive squares in 2 ways, for example, as 2126685456 + 221057424 = 46116^2 + 14868^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

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, 633192 + ... + 636888.

Almost surely, 2^2347742880 is an apocalyptic number.

2347742880 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 2347742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820465034).

2347742880 is an abundant number, since it is smaller than the sum of its proper divisors (7293187188).

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

2347742880 is a wasteful number, since it uses less digits than its factorization.

2347742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2347742880 is about 48453.5125661701. The cubic root of 2347742880 is about 1329.0771067472.

The spelling of 2347742880 in words is "two billion, three hundred forty-seven million, seven hundred forty-two thousand, eight hundred eighty".