2545474400 has 144 divisors (see below), whose sum is σ = 7411025664. Its totient is φ = 834746880.

The previous prime is 2545474357. The next prime is 2545474409. The reversal of 2545474400 is 44745452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545474409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118919 + ... + 138681.

It is an arithmetic number, because the mean of its divisors is an integer number (51465456).

Almost surely, 2^2545474400 is an apocalyptic number.

2545474400 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 2545474400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705512832).

2545474400 is an abundant number, since it is smaller than the sum of its proper divisors (4865551264).

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

2545474400 is a wasteful number, since it uses less digits than its factorization.

2545474400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19813 (or 19800 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 35.

The square root of 2545474400 is about 50452.6946753095. The cubic root of 2545474400 is about 1365.3885121827.

The spelling of 2545474400 in words is "two billion, five hundred forty-five million, four hundred seventy-four thousand, four hundred".