2542452000 has 576 divisors, whose sum is σ = 9787744512. Its totient is φ = 574464000.

The previous prime is 2542451999. The next prime is 2542452043. The reversal of 2542452000 is 2542452.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24683949 + ... + 24684051.

It is an arithmetic number, because the mean of its divisors is an integer number (16992612).

Almost surely, 2^2542452000 is an apocalyptic number.

2542452000 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 2542452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893872256).

2542452000 is an abundant number, since it is smaller than the sum of its proper divisors (7245292512).

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

2542452000 is a wasteful number, since it uses less digits than its factorization.

2542452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2542452000 is about 50422.7329683745. The cubic root of 2542452000 is about 1364.8478946023.

Adding to 2542452000 its reverse (2542452), we get a palindrome (2544994452).

2542452000 divided by its reverse (2542452) gives a cube (1000 = 10³).

The spelling of 2542452000 in words is "two billion, five hundred forty-two million, four hundred fifty-two thousand".