2045260265400 has 576 divisors, whose sum is σ = 7766495100000. Its totient is φ = 494344857600.

The previous prime is 2045260265369. The next prime is 2045260265401. The reversal of 2045260265400 is 45620625402.

2045260265400 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 2 + 602 + 6 + 5 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045260265401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 228032116 + ... + 228041084.

Almost surely, 2^{2045260265400} is an apocalyptic number.

2045260265400 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 2045260265400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883247550000).

2045260265400 is an abundant number, since it is smaller than the sum of its proper divisors (5721234834600).

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

2045260265400 is a wasteful number, since it uses less digits than its factorization.

2045260265400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9365 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 2045260265400 in words is "two trillion, forty-five billion, two hundred sixty million, two hundred sixty-five thousand, four hundred".