2542964 has 12 divisors (see below), whose sum is σ = 4462500. Its totient is φ = 1267968.

The previous prime is 2542957. The next prime is 2542987. The reversal of 2542964 is 4692452.

It can be written as a sum of positive squares in 2 ways, for example, as 1582564 + 960400 = 1258^2 + 980^2 .

It is a super-3 number, since 3×2542964³ = 49333495791585412032, which contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁹ + 4⁷ + 2¹⁹ + 9 + 6 + 4⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 2542964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1412 + ... + 2660.

It is an arithmetic number, because the mean of its divisors is an integer number (371875).

2^2542964 is an apocalyptic number.

It is an amenable number.

2542964 is a deficient number, since it is larger than the sum of its proper divisors (1919536).

2542964 is a wasteful number, since it uses less digits than its factorization.

2542964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1760 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 2542964 is about 1594.6673634335. The cubic root of 2542964 is about 136.4939506325.

The spelling of 2542964 in words is "two million, five hundred forty-two thousand, nine hundred sixty-four".