2409807106800 has 90 divisors (see below), whose sum is σ = 8362700063952. Its totient is φ = 642615227520.

The previous prime is 2409807106799. The next prime is 2409807106901. The reversal of 2409807106800 is 86017089042.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 334691832 + ... + 334699031.

Almost surely, 2^{2409807106800} is an apocalyptic number.

2409807106800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2409807106800 is an abundant number, since it is smaller than the sum of its proper divisors (5952892957152).

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

2409807106800 is a wasteful number, since it uses less digits than its factorization.

2409807106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669390887 (or 669390873 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 2409807106800 in words is "two trillion, four hundred nine billion, eight hundred seven million, one hundred six thousand, eight hundred".