2545334400 has 384 divisors, whose sum is σ = 9789552000. Its totient is φ = 581038080.

The previous prime is 2545334383. The next prime is 2545334447. The reversal of 2545334400 is 44335452.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3292414 + ... + 3293186.

It is an arithmetic number, because the mean of its divisors is an integer number (25493625).

Almost surely, 2^2545334400 is an apocalyptic number.

2545334400 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 2545334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894776000).

2545334400 is an abundant number, since it is smaller than the sum of its proper divisors (7244217600).

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

2545334400 is an equidigital number, since it uses as much as digits as its factorization.

2545334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 2545334400 is about 50451.3072179503. The cubic root of 2545334400 is about 1365.3634797963.

Adding to 2545334400 its reverse (44335452), we get a palindrome (2589669852).

The spelling of 2545334400 in words is "two billion, five hundred forty-five million, three hundred thirty-four thousand, four hundred".