2300555513040 has 80 divisors (see below), whose sum is σ = 7147967798400. Its totient is φ = 612083990016.

The previous prime is 2300555513027. The next prime is 2300555513051. The reversal of 2300555513040 is 403155550032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2300555513040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300555512992 and 2300555513010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10812235 + ... + 11022954.

It is an arithmetic number, because the mean of its divisors is an integer number (89349597480).

Almost surely, 2^{2300555513040} is an apocalyptic number.

2300555513040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300555513040 is an abundant number, since it is smaller than the sum of its proper divisors (4847412285360).

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

2300555513040 is a wasteful number, since it uses less digits than its factorization.

2300555513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21835644 (or 21835638 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 33.

The spelling of 2300555513040 in words is "two trillion, three hundred billion, five hundred fifty-five million, five hundred thirteen thousand, forty".