2542200570 has 576 divisors, whose sum is σ = 9368835840. Its totient is φ = 462827520.

The previous prime is 2542200509. The next prime is 2542200571. The reversal of 2542200570 is 750022452.

It is not an unprimeable number, because it can be changed into a prime (2542200571) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 82006455 + ... + 82006485.

It is an arithmetic number, because the mean of its divisors is an integer number (16265340).

Almost surely, 2^2542200570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542200570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684417920).

2542200570 is an abundant number, since it is smaller than the sum of its proper divisors (6826635270).

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

2542200570 is a wasteful number, since it uses less digits than its factorization.

2542200570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2542200570 is about 50420.2396860626. The cubic root of 2542200570 is about 1364.8029019445.

The spelling of 2542200570 in words is "two billion, five hundred forty-two million, two hundred thousand, five hundred seventy".