2542752000 has 504 divisors, whose sum is σ = 9584254680. Its totient is φ = 671846400.

The previous prime is 2542751977. The next prime is 2542752001. The reversal of 2542752000 is 2572452.

It can be written as a sum of positive squares in 4 ways, for example, as 31539456 + 2511212544 = 5616^2 + 50112^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2542752001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23327946 + ... + 23328054.

Almost surely, 2^2542752000 is an apocalyptic number.

2542752000 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 2542752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792127340).

2542752000 is an abundant number, since it is smaller than the sum of its proper divisors (7041502680).

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

2542752000 is an frugal number, since it uses more digits than its factorization.

2542752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

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

The square root of 2542752000 is about 50425.7077292922. The cubic root of 2542752000 is about 1364.9015748376.

The spelling of 2542752000 in words is "two billion, five hundred forty-two million, seven hundred fifty-two thousand".