2542341200 has 120 divisors (see below), whose sum is σ = 7023633792. Its totient is φ = 866280960.

The previous prime is 2542341181. The next prime is 2542341223. The reversal of 2542341200 is 21432452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464882 + ... + 470318.

Almost surely, 2^2542341200 is an apocalyptic number.

2542341200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511816896).

2542341200 is an abundant number, since it is smaller than the sum of its proper divisors (4481292592).

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

2542341200 is a wasteful number, since it uses less digits than its factorization.

2542341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5629 (or 5618 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2542341200 is about 50421.6342456291. The cubic root of 2542341200 is about 1364.8280676343.

Adding to 2542341200 its reverse (21432452), we get a palindrome (2563773652).

The spelling of 2542341200 in words is "two billion, five hundred forty-two million, three hundred forty-one thousand, two hundred".