2553942 has 32 divisors (see below), whose sum is σ = 5512320. Its totient is φ = 786240.

The previous prime is 2553937. The next prime is 2553949. The reversal of 2553942 is 2493552.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a d-powerful number, because it can be written as 2¹² + 5⁴ + 5⁸ + 3¹³ + 9⁶ + 4³ + 2¹⁵ .

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4642 + ... + 5162.

It is an arithmetic number, because the mean of its divisors is an integer number (172260).

2^2553942 is an apocalyptic number.

2553942 is an abundant number, since it is smaller than the sum of its proper divisors (2958378).

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

2553942 is a wasteful number, since it uses less digits than its factorization.

2553942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its digits is 10800, while the sum is 30.

The square root of 2553942 is about 1598.1057536972. The cubic root of 2553942 is about 136.6900838980.

The spelling of 2553942 in words is "two million, five hundred fifty-three thousand, nine hundred forty-two".