2034212401440 has 144 divisors (see below), whose sum is σ = 6970795977600. Its totient is φ = 540186855936.

The previous prime is 2034212401439. The next prime is 2034212401447. The reversal of 2034212401440 is 441042124302.

2034212401440 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 212 + 4 + 0 + 1 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2034212401447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2611170 + ... + 3299489.

It is an arithmetic number, because the mean of its divisors is an integer number (48408305400).

Almost surely, 2^{2034212401440} is an apocalyptic number.

2034212401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034212401440 is an abundant number, since it is smaller than the sum of its proper divisors (4936583576160).

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

2034212401440 is a wasteful number, since it uses less digits than its factorization.

2034212401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910919 (or 5910908 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2034212401440 its reverse (441042124302), we get a palindrome (2475254525742).

The spelling of 2034212401440 in words is "two trillion, thirty-four billion, two hundred twelve million, four hundred one thousand, four hundred forty".