2542987200 has 336 divisors, whose sum is σ = 9111666816. Its totient is φ = 617164800.

The previous prime is 2542987199. The next prime is 2542987201. The reversal of 2542987200 is 27892452.

2542987200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2542987199) and next prime (2542987201).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542987201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5178955 + ... + 5179445.

It is an arithmetic number, because the mean of its divisors is an integer number (27118056).

Almost surely, 2^2542987200 is an apocalyptic number.

2542987200 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 2542987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555833408).

2542987200 is an abundant number, since it is smaller than the sum of its proper divisors (6568679616).

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

2542987200 is a wasteful number, since it uses less digits than its factorization.

2542987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2542987200 is about 50428.0398191324. The cubic root of 2542987200 is about 1364.9436571895.

The spelling of 2542987200 in words is "two billion, five hundred forty-two million, nine hundred eighty-seven thousand, two hundred".