2542968 has 64 divisors (see below), whose sum is σ = 7216800. Its totient is φ = 829440.

The previous prime is 2542957. The next prime is 2542987. The reversal of 2542968 is 8692452.

It is a happy number.

It is a super-3 number, since 3×2542968³ = 49333728591924189696, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁵ + 5⁹ + 4 + 2¹⁹ + 9 + 6 + 8⁵ .

It is a plaindrome in base 5.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13080 + ... + 13272.

2^2542968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608400).

2542968 is an abundant number, since it is smaller than the sum of its proper divisors (4673832).

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

2542968 is a wasteful number, since it uses less digits than its factorization.

2542968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2542968 is about 1594.6686176131. The cubic root of 2542968 is about 136.4940221993.

The spelling of 2542968 in words is "two million, five hundred forty-two thousand, nine hundred sixty-eight".