2542755072 has 288 divisors, whose sum is σ = 8055976320. Its totient is φ = 706068480.

The previous prime is 2542755023. The next prime is 2542755101. The reversal of 2542755072 is 2705572452.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2542755072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18560188 + ... + 18560324.

It is an arithmetic number, because the mean of its divisors is an integer number (27972140).

Almost surely, 2^2542755072 is an apocalyptic number.

2542755072 is a gapful number since it is divisible by the number (22) 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 2542755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4027988160).

2542755072 is an abundant number, since it is smaller than the sum of its proper divisors (5513221248).

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

2542755072 is a wasteful number, since it uses less digits than its factorization.

2542755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 39.

The square root of 2542755072 is about 50425.7381899363. The cubic root of 2542755072 is about 1364.9021245014.

The spelling of 2542755072 in words is "two billion, five hundred forty-two million, seven hundred fifty-five thousand, seventy-two".