2024414117000 has 64 divisors (see below), whose sum is σ = 5167777155840. Its totient is φ = 736150584000.

The previous prime is 2024414116973. The next prime is 2024414117129. The reversal of 2024414117000 is 7114144202.

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, 92007824 + ... + 92029823.

It is an arithmetic number, because the mean of its divisors is an integer number (80746518060).

Almost surely, 2^{2024414117000} is an apocalyptic number.

2024414117000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024414117000 is an abundant number, since it is smaller than the sum of its proper divisors (3143363038840).

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

2024414117000 is a wasteful number, since it uses less digits than its factorization.

2024414117000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184037679 (or 184037665 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The spelling of 2024414117000 in words is "two trillion, twenty-four billion, four hundred fourteen million, one hundred seventeen thousand".