2575262160 has 400 divisors, whose sum is σ = 9605920896. Its totient is φ = 637756416.

The previous prime is 2575262083. The next prime is 2575262161. The reversal of 2575262160 is 612625752.

2575262160 is a `hidden beast` number, since 2 + 57 + 526 + 21 + 60 = 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 (2575262161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5514247 + ... + 5514713.

Almost surely, 2^2575262160 is an apocalyptic number.

2575262160 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 2575262160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802960448).

2575262160 is an abundant number, since it is smaller than the sum of its proper divisors (7030658736).

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

2575262160 is a wasteful number, since it uses less digits than its factorization.

2575262160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2575262160 is about 50747.0408989529. The cubic root of 2575262160 is about 1370.6939067388.

The spelling of 2575262160 in words is "two billion, five hundred seventy-five million, two hundred sixty-two thousand, one hundred sixty".