2307876480 has 1152 divisors, whose sum is σ = 10856598480. Its totient is φ = 445906944.

The previous prime is 2307876479. The next prime is 2307876481. The reversal of 2307876480 is 846787032.

It is a happy number.

2307876480 is a `hidden beast` number, since 2 + 30 + 78 + 76 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2307876479) and next prime (2307876481).

It can be written as a sum of positive squares in 8 ways, for example, as 1403551296 + 904325184 = 37464^2 + 30072^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (2307876481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62375022 + ... + 62375058.

Almost surely, 2^2307876480 is an apocalyptic number.

2307876480 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 2307876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428299240).

2307876480 is an abundant number, since it is smaller than the sum of its proper divisors (8548722000).

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

2307876480 is a wasteful number, since it uses less digits than its factorization.

2307876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2307876480 is about 48040.3630294360. The cubic root of 2307876480 is about 1321.5112168645.

The spelling of 2307876480 in words is "two billion, three hundred seven million, eight hundred seventy-six thousand, four hundred eighty".