2548742400 has 162 divisors, whose sum is σ = 9112535250. Its totient is φ = 679649280.

The previous prime is 2548742389. The next prime is 2548742423. The reversal of 2548742400 is 42478452.

2548742400 is a `hidden beast` number, since 2 + 548 + 74 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 18249984 + 2530492416 = 4272^2 + 50304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35476 + ... + 79724.

Almost surely, 2^2548742400 is an apocalyptic number.

2548742400 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 2548742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556267625).

2548742400 is an abundant number, since it is smaller than the sum of its proper divisors (6563792850).

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

2548742400 is a wasteful number, since it uses less digits than its factorization.

2548742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44281 (or 44259 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2548742400 is about 50485.0710606611. The cubic root of 2548742400 is about 1365.9725790102.

The spelling of 2548742400 in words is "two billion, five hundred forty-eight million, seven hundred forty-two thousand, four hundred".