2544078240 has 576 divisors, whose sum is σ = 10167413760. Its totient is φ = 593049600.

The previous prime is 2544078223. The next prime is 2544078241. The reversal of 2544078240 is 428704452.

2544078240 is a `hidden beast` number, since 2 + 5 + 4 + 407 + 8 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2544078195 and 2544078204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544078241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16204242 + ... + 16204398.

It is an arithmetic number, because the mean of its divisors is an integer number (17651760).

Almost surely, 2^2544078240 is an apocalyptic number.

2544078240 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 2544078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083706880).

2544078240 is an abundant number, since it is smaller than the sum of its proper divisors (7623335520).

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

2544078240 is a wasteful number, since it uses less digits than its factorization.

2544078240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 209 counting only the distinct ones).

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

The square root of 2544078240 is about 50438.8564501615. The cubic root of 2544078240 is about 1365.1388338440.

The spelling of 2544078240 in words is "two billion, five hundred forty-four million, seventy-eight thousand, two hundred forty".