2121374640 has 720 divisors, whose sum is σ = 9005423616. Its totient is φ = 408038400.

The previous prime is 2121374627. The next prime is 2121374641. The reversal of 2121374640 is 464731212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2121374598 and 2121374607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121374641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68431425 + ... + 68431455.

Almost surely, 2^2121374640 is an apocalyptic number.

2121374640 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 2121374640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502711808).

2121374640 is an abundant number, since it is smaller than the sum of its proper divisors (6884048976).

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

2121374640 is a wasteful number, since it uses less digits than its factorization.

2121374640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2121374640 is about 46058.3829503382. The cubic root of 2121374640 is about 1284.9092559073.

The spelling of 2121374640 in words is "two billion, one hundred twenty-one million, three hundred seventy-four thousand, six hundred forty".