2400367824 has 40 divisors (see below), whose sum is σ = 6889945920. Its totient is φ = 800122464.

The previous prime is 2400367817. The next prime is 2400367867. The reversal of 2400367824 is 4287630042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2777772 + ... + 2778635.

It is an arithmetic number, because the mean of its divisors is an integer number (172248648).

Almost surely, 2^2400367824 is an apocalyptic number.

2400367824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2400367824 is an abundant number, since it is smaller than the sum of its proper divisors (4489578096).

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

2400367824 is a wasteful number, since it uses less digits than its factorization.

2400367824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556424 (or 5556412 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2400367824 is about 48993.5487998165. The cubic root of 2400367824 is about 1338.9342948664.

Adding to 2400367824 its reverse (4287630042), we get a palindrome (6687997866).

The spelling of 2400367824 in words is "two billion, four hundred million, three hundred sixty-seven thousand, eight hundred twenty-four".