2575013760 has 1024 divisors, whose sum is σ = 11280384000. Its totient is φ = 547430400.

The previous prime is 2575013731. The next prime is 2575013761. The reversal of 2575013760 is 673105752.

2575013760 is a `hidden beast` number, since 2 + 575 + 0 + 13 + 76 + 0 = 666.

2575013760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (2575013761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83064945 + ... + 83064975.

It is an arithmetic number, because the mean of its divisors is an integer number (11016000).

Almost surely, 2^2575013760 is an apocalyptic number.

2575013760 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 2575013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640192000).

2575013760 is an abundant number, since it is smaller than the sum of its proper divisors (8705370240).

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

2575013760 is a wasteful number, since it uses less digits than its factorization.

2575013760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 2575013760 is about 50744.5934065886. The cubic root of 2575013760 is about 1370.6498346802.

The spelling of 2575013760 in words is "two billion, five hundred seventy-five million, thirteen thousand, seven hundred sixty".