2400505740 has 384 divisors, whose sum is σ = 8360755200. Its totient is φ = 568995840.

The previous prime is 2400505717. The next prime is 2400505741. The reversal of 2400505740 is 475050042.

2400505740 is a `hidden beast` number, since 2 + 40 + 0 + 50 + 574 + 0 = 666.

2400505740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (2400505741) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18901557 + ... + 18901683.

It is an arithmetic number, because the mean of its divisors is an integer number (21772800).

Almost surely, 2^2400505740 is an apocalyptic number.

2400505740 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 2400505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180377600).

2400505740 is an abundant number, since it is smaller than the sum of its proper divisors (5960249460).

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

2400505740 is a wasteful number, since it uses less digits than its factorization.

2400505740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2400505740 is about 48994.9562710286. The cubic root of 2400505740 is about 1338.9599377316.

Adding to 2400505740 its reverse (475050042), we get a palindrome (2875555782).

The spelling of 2400505740 in words is "two billion, four hundred million, five hundred five thousand, seven hundred forty".