2261731307400 has 192 divisors, whose sum is σ = 8129121667200. Its totient is φ = 576905345280.

The previous prime is 2261731307287. The next prime is 2261731307413. The reversal of 2261731307400 is 47031371622.

2261731307400 is a `hidden beast` number, since 2 + 2 + 617 + 3 + 1 + 30 + 7 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8980999 + ... + 9229398.

It is an arithmetic number, because the mean of its divisors is an integer number (42339175350).

Almost surely, 2^{2261731307400} is an apocalyptic number.

2261731307400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261731307400 is an abundant number, since it is smaller than the sum of its proper divisors (5867390359800).

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

2261731307400 is a wasteful number, since it uses less digits than its factorization.

2261731307400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18210445 (or 18210430 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 2261731307400 in words is "two trillion, two hundred sixty-one billion, seven hundred thirty-one million, three hundred seven thousand, four hundred".