2121971414640 has 960 divisors, whose sum is σ = 8772080550912. Its totient is φ = 413922263040.

The previous prime is 2121971414611. The next prime is 2121971414653. The reversal of 2121971414640 is 464141791212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2121971414592 and 2121971414601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2339549067 + ... + 2339549973.

Almost surely, 2^{2121971414640} is an apocalyptic number.

2121971414640 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 2121971414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386040275456).

2121971414640 is an abundant number, since it is smaller than the sum of its proper divisors (6650109136272).

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

2121971414640 is a wasteful number, since it uses less digits than its factorization.

2121971414640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 2121971414640 in words is "two trillion, one hundred twenty-one billion, nine hundred seventy-one million, four hundred fourteen thousand, six hundred forty".