2433640000 has 140 divisors (see below), whose sum is σ = 6584429808. Its totient is φ = 884800000.

The previous prime is 2433639937. The next prime is 2433640007. The reversal of 2433640000 is 463342.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2433640007) 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 19 ways as a sum of consecutive naturals, for example, 437235 + ... + 442765.

Almost surely, 2^2433640000 is an apocalyptic number.

2433640000 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 2433640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292214904).

2433640000 is an abundant number, since it is smaller than the sum of its proper divisors (4150789808).

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

2433640000 is an equidigital number, since it uses as much as digits as its factorization.

2433640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 2433640000 is about 49331.9369171736. The cubic root of 2433640000 is about 1345.0923776742.

It can be divided in two parts, 24336 and 40000, that multiplied together give a square (973440000 = 31200²).

The spelling of 2433640000 in words is "two billion, four hundred thirty-three million, six hundred forty thousand".