2575364000 has 288 divisors, whose sum is σ = 7387864848. Its totient is φ = 878592000.

The previous prime is 2575363963. The next prime is 2575364069. The reversal of 2575364000 is 4635752.

It can be written as a sum of positive squares in 8 ways, for example, as 1628176 + 2573735824 = 1276^2 + 50732^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8227844 + ... + 8228156.

Almost surely, 2^2575364000 is an apocalyptic number.

2575364000 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 2575364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693932424).

2575364000 is an abundant number, since it is smaller than the sum of its proper divisors (4812500848).

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

2575364000 is a wasteful number, since it uses less digits than its factorization.

2575364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 2575364000 is about 50748.0442972929. The cubic root of 2575364000 is about 1370.7119747539.

Adding to 2575364000 its reverse (4635752), we get a palindrome (2579999752).

The spelling of 2575364000 in words is "two billion, five hundred seventy-five million, three hundred sixty-four thousand".