2545205013120 has 1024 divisors, whose sum is σ = 10568366161920. Its totient is φ = 505571328000.

The previous prime is 2545205013119. The next prime is 2545205013157. The reversal of 2545205013120 is 213105025452.

It is a super-2 number, since 2×2545205013120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 380388975 + ... + 380395665.

It is an arithmetic number, because the mean of its divisors is an integer number (10320670080).

Almost surely, 2^{2545205013120} is an apocalyptic number.

2545205013120 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 2545205013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284183080960).

2545205013120 is an abundant number, since it is smaller than the sum of its proper divisors (8023161148800).

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

2545205013120 is a wasteful number, since it uses less digits than its factorization.

2545205013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6845 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 2545205013120 in words is "two trillion, five hundred forty-five billion, two hundred five million, thirteen thousand, one hundred twenty".