2416435156564 has 144 divisors (see below), whose sum is σ = 5026402563840. Its totient is φ = 1009705593600.

The previous prime is 2416435156561. The next prime is 2416435156567. The reversal of 2416435156564 is 4656515346142.

It is an interprime number because it is at equal distance from previous prime (2416435156561) and next prime (2416435156567).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416435156561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3126047682 + ... + 3126048454.

It is an arithmetic number, because the mean of its divisors is an integer number (34905573360).

Almost surely, 2^{2416435156564} is an apocalyptic number.

It is an amenable number.

2416435156564 is an abundant number, since it is smaller than the sum of its proper divisors (2609967407276).

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

2416435156564 is a wasteful number, since it uses less digits than its factorization.

2416435156564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222 (or 2209 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 52.

The spelling of 2416435156564 in words is "two trillion, four hundred sixteen billion, four hundred thirty-five million, one hundred fifty-six thousand, five hundred sixty-four".