2400554240 has 288 divisors, whose sum is σ = 7064064000. Its totient is φ = 763305984.

The previous prime is 2400554239. The next prime is 2400554251. The reversal of 2400554240 is 424550042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10044041 + ... + 10044279.

It is an arithmetic number, because the mean of its divisors is an integer number (24528000).

Almost surely, 2^2400554240 is an apocalyptic number.

2400554240 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 2400554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532032000).

2400554240 is an abundant number, since it is smaller than the sum of its proper divisors (4663509760).

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

2400554240 is a wasteful number, since it uses less digits than its factorization.

2400554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 2400554240 is about 48995.4512174345. The cubic root of 2400554240 is about 1338.9689551535.

The spelling of 2400554240 in words is "two billion, four hundred million, five hundred fifty-four thousand, two hundred forty".