2306145492000 has 960 divisors, whose sum is σ = 9710395478784. Its totient is φ = 525110169600.

The previous prime is 2306145491971. The next prime is 2306145492029. The reversal of 2306145492000 is 2945416032.

It is a happy number.

2306145492000 is a `hidden beast` number, since 2 + 30 + 61 + 4 + 549 + 20 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2306145491971) and next prime (2306145492029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 641842204 + ... + 641845796.

Almost surely, 2^{2306145492000} is an apocalyptic number.

2306145492000 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 2306145492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855197739392).

2306145492000 is an abundant number, since it is smaller than the sum of its proper divisors (7404249986784).

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

2306145492000 is a wasteful number, since it uses less digits than its factorization.

2306145492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3893 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2306145492000 in words is "two trillion, three hundred six billion, one hundred forty-five million, four hundred ninety-two thousand".