2306149470720 has 960 divisors, whose sum is σ = 8598647401344. Its totient is φ = 591941468160.

The previous prime is 2306149470683. The next prime is 2306149470733. The reversal of 2306149470720 is 270749416032.

2306149470720 is a `hidden beast` number, since 2 + 3 + 0 + 614 + 9 + 4 + 7 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2306149470720² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 1952708530 + ... + 1952709710.

Almost surely, 2^{2306149470720} is an apocalyptic number.

2306149470720 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 2306149470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299323700672).

2306149470720 is an abundant number, since it is smaller than the sum of its proper divisors (6292497930624).

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

2306149470720 is an equidigital number, since it uses as much as digits as its factorization.

2306149470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2306149470720 in words is "two trillion, three hundred six billion, one hundred forty-nine million, four hundred seventy thousand, seven hundred twenty".