2543934400 has 336 divisors, whose sum is σ = 7837212672. Its totient is φ = 792576000.

The previous prime is 2543934359. The next prime is 2543934409. The reversal of 2543934400 is 44393452.

It is a happy number.

It is a hoax number, since the sum of its digits (34) 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 (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543934409) 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, 5902185 + ... + 5902615.

Almost surely, 2^2543934400 is an apocalyptic number.

2543934400 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 2543934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918606336).

2543934400 is an abundant number, since it is smaller than the sum of its proper divisors (5293278272).

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

2543934400 is a wasteful number, since it uses less digits than its factorization.

2543934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2543934400 is about 50437.4305451814. The cubic root of 2543934400 is about 1365.1131054331.

The spelling of 2543934400 in words is "two billion, five hundred forty-three million, nine hundred thirty-four thousand, four hundred".