2525745690 has 192 divisors, whose sum is σ = 7540356096. Its totient is φ = 581746176.

The previous prime is 2525745661. The next prime is 2525745721. The reversal of 2525745690 is 965475252.

2525745690 is a `hidden beast` number, since 2 + 525 + 74 + 56 + 9 + 0 = 666.

It is a super-2 number, since 2×2525745690² = 12758782581107152200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1263772 + ... + 1265768.

It is an arithmetic number, because the mean of its divisors is an integer number (39272688).

Almost surely, 2^2525745690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525745690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770178048).

2525745690 is an abundant number, since it is smaller than the sum of its proper divisors (5014610406).

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

2525745690 is a wasteful number, since it uses less digits than its factorization.

2525745690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 2525745690 is about 50256.7974506932. The cubic root of 2525745690 is about 1361.8518763533.

The spelling of 2525745690 in words is "two billion, five hundred twenty-five million, seven hundred forty-five thousand, six hundred ninety".