2129409684480 has 1056 divisors, whose sum is σ = 8078612250240. Its totient is φ = 474537000960.

The previous prime is 2129409684439. The next prime is 2129409684509. The reversal of 2129409684480 is 844869049212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2129409684480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2006983150 + ... + 2006984210.

Almost surely, 2^{2129409684480} is an apocalyptic number.

2129409684480 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 2129409684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039306125120).

2129409684480 is an abundant number, since it is smaller than the sum of its proper divisors (5949202565760).

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

2129409684480 is a wasteful number, since it uses less digits than its factorization.

2129409684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 2129409684480 in words is "two trillion, one hundred twenty-nine billion, four hundred nine million, six hundred eighty-four thousand, four hundred eighty".