2400114240 has 560 divisors, whose sum is σ = 9205447680. Its totient is φ = 592220160.

The previous prime is 2400114229. The next prime is 2400114253. The reversal of 2400114240 is 424110042.

2400114240 is a `hidden beast` number, since 240 + 0 + 1 + 1 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23302029 + ... + 23302131.

Almost surely, 2^2400114240 is an apocalyptic number.

2400114240 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 2400114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4602723840).

2400114240 is an abundant number, since it is smaller than the sum of its proper divisors (6805333440).

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

2400114240 is a wasteful number, since it uses less digits than its factorization.

2400114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2400114240 is about 48990.9607989066. The cubic root of 2400114240 is about 1338.8871431662.

Adding to 2400114240 its reverse (424110042), we get a palindrome (2824224282).

The spelling of 2400114240 in words is "two billion, four hundred million, one hundred fourteen thousand, two hundred forty".