2261724487600 has 30 divisors (see below), whose sum is σ = 5433793082420. Its totient is φ = 904689794880.

The previous prime is 2261724487577. The next prime is 2261724487667. The reversal of 2261724487600 is 67844271622.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2827155210 + ... + 2827156009.

Almost surely, 2^{2261724487600} is an apocalyptic number.

2261724487600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261724487600 is an abundant number, since it is smaller than the sum of its proper divisors (3172068594820).

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

2261724487600 is a wasteful number, since it uses less digits than its factorization.

2261724487600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5654311237 (or 5654311226 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 49.

The spelling of 2261724487600 in words is "two trillion, two hundred sixty-one billion, seven hundred twenty-four million, four hundred eighty-seven thousand, six hundred".