2465045161920 has 560 divisors, whose sum is σ = 9578201925600. Its totient is φ = 596808622080.

The previous prime is 2465045161919. The next prime is 2465045161949. The reversal of 2465045161920 is 291615405642.

2465045161920 is a `hidden beast` number, since 2 + 4 + 6 + 5 + 0 + 4 + 5 + 1 + 619 + 20 = 666.

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 79 ways as a sum of consecutive naturals, for example, 236359266 + ... + 236369694.

It is an arithmetic number, because the mean of its divisors is an integer number (17103932010).

Almost surely, 2^{2465045161920} is an apocalyptic number.

2465045161920 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 2465045161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789100962800).

2465045161920 is an abundant number, since it is smaller than the sum of its proper divisors (7113156763680).

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

2465045161920 is a wasteful number, since it uses less digits than its factorization.

2465045161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11298 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 2465045161920 in words is "two trillion, four hundred sixty-five billion, forty-five million, one hundred sixty-one thousand, nine hundred twenty".