2400232032 has 144 divisors (see below), whose sum is σ = 7647795792. Its totient is φ = 707650560.

The previous prime is 2400231979. The next prime is 2400232039. The reversal of 2400232032 is 2302320042.

2400232032 is a `hidden beast` number, since 2 + 400 + 232 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2400232032² = 11522227614877698048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2400231996 and 2400232014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400232039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106978 + ... + 127454.

It is an arithmetic number, because the mean of its divisors is an integer number (53109693).

Almost surely, 2^2400232032 is an apocalyptic number.

2400232032 is a gapful number since it is divisible by the number (22) 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 2400232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823897896).

2400232032 is an abundant number, since it is smaller than the sum of its proper divisors (5247563760).

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

2400232032 is a wasteful number, since it uses less digits than its factorization.

2400232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20541 (or 20530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2400232032 is about 48992.1629651111. The cubic root of 2400232032 is about 1338.9090459590.

Adding to 2400232032 its reverse (2302320042), we get a palindrome (4702552074).

It can be divided in two parts, 2400 and 232032, that added together give a palindrome (234432).

The spelling of 2400232032 in words is "two billion, four hundred million, two hundred thirty-two thousand, thirty-two".