2542144 has 56 divisors (see below), whose sum is σ = 5779008. Its totient is φ = 1098240.

The previous prime is 2542139. The next prime is 2542147. The reversal of 2542144 is 4412452.

2542144 = T₅₇ + T₅₈ + ... + T₂₄₈.

It is a happy number.

It is a super-2 number, since 2×2542144² = 12924992233472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2542147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16114 + ... + 16270.

2^2542144 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 2542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889504).

2542144 is an abundant number, since it is smaller than the sum of its proper divisors (3236864).

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

2542144 is a wasteful number, since it uses less digits than its factorization.

2542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its digits is 1280, while the sum is 22.

The square root of 2542144 is about 1594.4102357925. The cubic root of 2542144 is about 136.4792778501.

Adding to 2542144 its reverse (4412452), we get a palindrome (6954596).

The spelling of 2542144 in words is "two million, five hundred forty-two thousand, one hundred forty-four".