2575967940 has 768 divisors, whose sum is σ = 10838016000. Its totient is φ = 492687360.

The previous prime is 2575967939. The next prime is 2575967951. The reversal of 2575967940 is 497695752.

2575967940 is a `hidden beast` number, since 2 + 5 + 7 + 596 + 7 + 9 + 40 = 666.

It is a super-2 number, since 2×2575967940² = 13271221655815687200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28943416 + ... + 28943504.

It is an arithmetic number, because the mean of its divisors is an integer number (14112000).

Almost surely, 2^2575967940 is an apocalyptic number.

2575967940 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 2575967940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008000).

2575967940 is an abundant number, since it is smaller than the sum of its proper divisors (8262048060).

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

2575967940 is a wasteful number, since it uses less digits than its factorization.

2575967940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 2575967940 is about 50753.9943255701. The cubic root of 2575967940 is about 1370.8191134067.

The spelling of 2575967940 in words is "two billion, five hundred seventy-five million, nine hundred sixty-seven thousand, nine hundred forty".