2306060400400 has 60 divisors (see below), whose sum is σ = 5556750526132. Its totient is φ = 919686942720.

The previous prime is 2306060400389. The next prime is 2306060400401. The reversal of 2306060400400 is 40040606032.

It can be written as a sum of positive squares in 6 ways, for example, as 301989815296 + 2004070585104 = 549536^2 + 1415652^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2306060400401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8418837 + ... + 8688436.

Almost surely, 2^{2306060400400} is an apocalyptic number.

2306060400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2306060400400 is an abundant number, since it is smaller than the sum of its proper divisors (3250690125732).

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

2306060400400 is a wasteful number, since it uses less digits than its factorization.

2306060400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17107628 (or 17107617 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The spelling of 2306060400400 in words is "two trillion, three hundred six billion, sixty million, four hundred thousand, four hundred".