2122698240 has 480 divisors, whose sum is σ = 8356027680. Its totient is φ = 493682688.

The previous prime is 2122698233. The next prime is 2122698241. The reversal of 2122698240 is 428962212.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 2122698195 and 2122698204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122698241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5690694 + ... + 5691066.

It is an arithmetic number, because the mean of its divisors is an integer number (17408391).

Almost surely, 2^2122698240 is an apocalyptic number.

2122698240 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 2122698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178013840).

2122698240 is an abundant number, since it is smaller than the sum of its proper divisors (6233329440).

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

2122698240 is a wasteful number, since it uses less digits than its factorization.

2122698240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2122698240 is about 46072.7494295706. The cubic root of 2122698240 is about 1285.1764336564.

The spelling of 2122698240 in words is "two billion, one hundred twenty-two million, six hundred ninety-eight thousand, two hundred forty".