2542202288640 has 1600 divisors, whose sum is σ = 10970540697600. Its totient is φ = 561842749440.

The previous prime is 2542202288623. The next prime is 2542202288653. The reversal of 2542202288640 is 468822022452.

2542202288640 is a `hidden beast` number, since 2 + 542 + 2 + 0 + 2 + 28 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2204858304 + ... + 2204859456.

It is an arithmetic number, because the mean of its divisors is an integer number (6856587936).

Almost surely, 2^{2542202288640} is an apocalyptic number.

2542202288640 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 2542202288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485270348800).

2542202288640 is an abundant number, since it is smaller than the sum of its proper divisors (8428338408960).

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

2542202288640 is an equidigital number, since it uses as much as digits as its factorization.

2542202288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 2542202288640 in words is "two trillion, five hundred forty-two billion, two hundred two million, two hundred eighty-eight thousand, six hundred forty".