2465853927100 has 72 divisors (see below), whose sum is σ = 5420255112720. Its totient is φ = 973595589120.

The previous prime is 2465853927079. The next prime is 2465853927113. The reversal of 2465853927100 is 17293585642.

2465853927100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2465853927100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4988302 + ... + 5460298.

It is an arithmetic number, because the mean of its divisors is an integer number (75281321010).

It is a 1-persistent number, because it is pandigital, but 2⋅2465853927100 = 4931707854200 is not.

Almost surely, 2^{2465853927100} is an apocalyptic number.

2465853927100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465853927100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2710127556360).

2465853927100 is an abundant number, since it is smaller than the sum of its proper divisors (2954401185620).

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

2465853927100 is a wasteful number, since it uses less digits than its factorization.

2465853927100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472687 (or 472680 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 2465853927100 in words is "two trillion, four hundred sixty-five billion, eight hundred fifty-three million, nine hundred twenty-seven thousand, one hundred".