2307878760 has 128 divisors (see below), whose sum is σ = 7564492800. Its totient is φ = 558639360.

The previous prime is 2307878743. The next prime is 2307878767. The reversal of 2307878760 is 678787032.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2307878767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1687597 + ... + 1688963.

It is an arithmetic number, because the mean of its divisors is an integer number (59097600).

Almost surely, 2^2307878760 is an apocalyptic number.

2307878760 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 2307878760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782246400).

2307878760 is an abundant number, since it is smaller than the sum of its proper divisors (5256614040).

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

2307878760 is a wasteful number, since it uses less digits than its factorization.

2307878760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The square root of 2307878760 is about 48040.3867594756. The cubic root of 2307878760 is about 1321.5116520473.

The spelling of 2307878760 in words is "two billion, three hundred seven million, eight hundred seventy-eight thousand, seven hundred sixty".