2542365 has 36 divisors (see below), whose sum is σ = 5130684. Its totient is φ = 1161216.

The previous prime is 2542363. The next prime is 2542391. The reversal of 2542365 is 5632452.

It can be written as a sum of positive squares in 2 ways, for example, as 1483524 + 1058841 = 1218^2 + 1029^2 .

It is not a de Polignac number, because 2542365 - 2¹ = 2542363 is a prime.

It is a d-powerful number, because it can be written as 2¹² + 5⁴ + 4⁵ + 2²¹ + 3⁷ + 6⁶ + 5⁸ .

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542363) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1629 + ... + 2781.

It is an arithmetic number, because the mean of its divisors is an integer number (142519).

2^2542365 is an apocalyptic number.

It is an amenable number.

2542365 is an abundant number, since it is smaller than the sum of its proper divisors (2588319).

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

2542365 is a wasteful number, since it uses less digits than its factorization.

2542365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1168 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 2542365 is about 1594.4795389092. The cubic root of 2542365 is about 136.4832326544.

The spelling of 2542365 in words is "two million, five hundred forty-two thousand, three hundred sixty-five".