2545295760 has 480 divisors, whose sum is σ = 10534897152. Its totient is φ = 537477120.

The previous prime is 2545295741. The next prime is 2545295783. The reversal of 2545295760 is 675925452.

2545295760 is a `hidden beast` number, since 2 + 54 + 5 + 29 + 576 + 0 = 666.

It is a super-4 number, since 4×2545295760⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5226237 + ... + 5226723.

Almost surely, 2^2545295760 is an apocalyptic number.

2545295760 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 2545295760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5267448576).

2545295760 is an abundant number, since it is smaller than the sum of its proper divisors (7989601392).

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

2545295760 is a wasteful number, since it uses less digits than its factorization.

2545295760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2545295760 is about 50450.9242730002. The cubic root of 2545295760 is about 1365.3565706961.

The spelling of 2545295760 in words is "two billion, five hundred forty-five million, two hundred ninety-five thousand, seven hundred sixty".