2538202757 has 12 divisors (see below), whose sum is σ = 2632367556. Its totient is φ = 2447303040.

The previous prime is 2538202729. The next prime is 2538202759. The reversal of 2538202757 is 7572028352.

2538202757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 30096196 + 2508106561 = 5486^2 + 50081^2 .

It is not a de Polignac number, because 2538202757 - 2¹² = 2538198661 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538202759) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 786407 + ... + 789627.

It is an arithmetic number, because the mean of its divisors is an integer number (219363963).

Almost surely, 2^2538202757 is an apocalyptic number.

It is an amenable number.

2538202757 is a deficient number, since it is larger than the sum of its proper divisors (94164799).

2538202757 is an equidigital number, since it uses as much as digits as its factorization.

2538202757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The square root of 2538202757 is about 50380.5791649917. The cubic root of 2538202757 is about 1364.0871061537.

The spelling of 2538202757 in words is "two billion, five hundred thirty-eight million, two hundred two thousand, seven hundred fifty-seven".