2542024000 has 112 divisors (see below), whose sum is σ = 6512996880. Its totient is φ = 981657600.

The previous prime is 2542023997. The next prime is 2542024007. The reversal of 2542024000 is 4202452.

It can be written as a sum of positive squares in 8 ways, for example, as 652904704 + 1889119296 = 25552^2 + 43464^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542024007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226522 + ... + 237478.

Almost surely, 2^2542024000 is an apocalyptic number.

2542024000 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 2542024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256498440).

2542024000 is an abundant number, since it is smaller than the sum of its proper divisors (3970972880).

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

2542024000 is a wasteful number, since it uses less digits than its factorization.

2542024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11013 (or 10993 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2542024000 is about 50418.4886723115. The cubic root of 2542024000 is about 1364.7713034899.

Adding to 2542024000 its reverse (4202452), we get a palindrome (2546226452).

The spelling of 2542024000 in words is "two billion, five hundred forty-two million, twenty-four thousand".