2544402240 has 336 divisors, whose sum is σ = 9544507200. Its totient is φ = 637968384.

The previous prime is 2544402239. The next prime is 2544402241. The reversal of 2544402240 is 422044452.

2544402240 is a `hidden beast` number, since 254 + 4 + 402 + 2 + 4 + 0 = 666.

2544402240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2544402239) and next prime (2544402241).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2544402241) 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, 2496451 + ... + 2497469.

Almost surely, 2^2544402240 is an apocalyptic number.

2544402240 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 2544402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4772253600).

2544402240 is an abundant number, since it is smaller than the sum of its proper divisors (7000104960).

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

2544402240 is a wasteful number, since it uses less digits than its factorization.

2544402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 2544402240 is about 50442.0681574418. The cubic root of 2544402240 is about 1365.1967836088.

Adding to 2544402240 its reverse (422044452), we get a palindrome (2966446692).

The spelling of 2544402240 in words is "two billion, five hundred forty-four million, four hundred two thousand, two hundred forty".