2542275072 has 200 divisors, whose sum is σ = 7724059200. Its totient is φ = 832260096.

The previous prime is 2542275059. The next prime is 2542275083. The reversal of 2542275072 is 2705722452.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2446329 + ... + 2447367.

It is an arithmetic number, because the mean of its divisors is an integer number (38620296).

Almost surely, 2^2542275072 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 2542275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862029600).

2542275072 is an abundant number, since it is smaller than the sum of its proper divisors (5181784128).

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

2542275072 is an equidigital number, since it uses as much as digits as its factorization.

2542275072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 2542275072 is about 50420.9784911003. The cubic root of 2542275072 is about 1364.8162341672.

The spelling of 2542275072 in words is "two billion, five hundred forty-two million, two hundred seventy-five thousand, seventy-two".