2542202332000 has 96 divisors (see below), whose sum is σ = 6262503496704. Its totient is φ = 1014225280000.

The previous prime is 2542202331961. The next prime is 2542202332013. The reversal of 2542202332000 is 2332022452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 702300 + ... + 2361700.

It is an arithmetic number, because the mean of its divisors is an integer number (65234411424).

Almost surely, 2^{2542202332000} is an apocalyptic number.

2542202332000 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 2542202332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131251748352).

2542202332000 is an abundant number, since it is smaller than the sum of its proper divisors (3720301164704).

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

2542202332000 is a wasteful number, since it uses less digits than its factorization.

2542202332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659809 (or 1659791 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 2542202332000 its reverse (2332022452), we get a palindrome (2544534354452).

The spelling of 2542202332000 in words is "two trillion, five hundred forty-two billion, two hundred two million, three hundred thirty-two thousand".