2465121189888 has 540 divisors, whose sum is σ = 8508707681292. Its totient is φ = 685210337280.

The previous prime is 2465121189859. The next prime is 2465121189913. The reversal of 2465121189888 is 8889811215642.

2465121189888 is a `hidden beast` number, since 2 + 465 + 1 + 2 + 1 + 1 + 8 + 98 + 88 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2233613942784 + 231507247104 = 1494528^2 + 481152^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267333118 + ... + 267342338.

Almost surely, 2^{2465121189888} is an apocalyptic number.

2465121189888 is a gapful number since it is divisible by the number (28) 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 2465121189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254353840646).

2465121189888 is an abundant number, since it is smaller than the sum of its proper divisors (6043586491404).

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

2465121189888 is an equidigital number, since it uses as much as digits as its factorization.

2465121189888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9306 (or 9270 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 63.

The spelling of 2465121189888 in words is "two trillion, four hundred sixty-five billion, one hundred twenty-one million, one hundred eighty-nine thousand, eight hundred eighty-eight".