2575506240 has 448 divisors, whose sum is σ = 9912096000. Its totient is φ = 627056640.

The previous prime is 2575506229. The next prime is 2575506247. The reversal of 2575506240 is 426055752.

2575506240 is a `hidden beast` number, since 2 + 5 + 7 + 550 + 62 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2575506195 and 2575506204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2575506247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4760370 + ... + 4760910.

Almost surely, 2^2575506240 is an apocalyptic number.

2575506240 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 2575506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4956048000).

2575506240 is an abundant number, since it is smaller than the sum of its proper divisors (7336589760).

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

2575506240 is a wasteful number, since it uses less digits than its factorization.

2575506240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2575506240 is about 50749.4457112588. The cubic root of 2575506240 is about 1370.7372095663.

The spelling of 2575506240 in words is "two billion, five hundred seventy-five million, five hundred six thousand, two hundred forty".