2121445431504 has 120 divisors (see below), whose sum is σ = 6820783537152. Its totient is φ = 602953770240.

The previous prime is 2121445431503. The next prime is 2121445431533. The reversal of 2121445431504 is 4051345441212.

2121445431504 is a `hidden beast` number, since 2 + 1 + 2 + 144 + 5 + 4 + 3 + 1 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121445431503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5316919 + ... + 5701974.

Almost surely, 2^{2121445431504} is an apocalyptic number.

2121445431504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121445431504 is an abundant number, since it is smaller than the sum of its proper divisors (4699338105648).

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

2121445431504 is a wasteful number, since it uses less digits than its factorization.

2121445431504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11019105 (or 11019096 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2121445431504 in words is "two trillion, one hundred twenty-one billion, four hundred forty-five million, four hundred thirty-one thousand, five hundred four".