2141233440 has 48 divisors (see below), whose sum is σ = 6744886848. Its totient is φ = 570995456.

The previous prime is 2141233427. The next prime is 2141233447. The reversal of 2141233440 is 443321412.

It is a tau number, because it is divible by the number of its divisors (48).

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 2141233440.

It is not an unprimeable number, because it can be changed into a prime (2141233447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2229972 + ... + 2230931.

It is an arithmetic number, because the mean of its divisors is an integer number (140518476).

Almost surely, 2^2141233440 is an apocalyptic number.

2141233440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141233440 is an abundant number, since it is smaller than the sum of its proper divisors (4603653408).

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

2141233440 is a wasteful number, since it uses less digits than its factorization.

2141233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460921 (or 4460913 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2141233440 is about 46273.4636697968. The cubic root of 2141233440 is about 1288.9062780496.

Adding to 2141233440 its reverse (443321412), we get a palindrome (2584554852).

The spelling of 2141233440 in words is "two billion, one hundred forty-one million, two hundred thirty-three thousand, four hundred forty".