2462400240 has 80 divisors (see below), whose sum is σ = 7965347328. Its totient is φ = 628089088.

The previous prime is 2462400229. The next prime is 2462400251. The reversal of 2462400240 is 420042642.

2462400240 is digitally balanced in base 2, because in such base 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 (2462400229) and next prime (2462400251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2462400240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217524 + ... + 228563.

Almost surely, 2^2462400240 is an apocalyptic number.

2462400240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2462400240 is an abundant number, since it is smaller than the sum of its proper divisors (5502947088).

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

2462400240 is a wasteful number, since it uses less digits than its factorization.

2462400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446126 (or 446120 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2462400240 is about 49622.5779257789. The cubic root of 2462400240 is about 1350.3703126780.

Adding to 2462400240 its reverse (420042642), we get a palindrome (2882442882).

The spelling of 2462400240 in words is "two billion, four hundred sixty-two million, four hundred thousand, two hundred forty".