2122349040 has 400 divisors, whose sum is σ = 8555880960. Its totient is φ = 477550080.

The previous prime is 2122348999. The next prime is 2122349083. The reversal of 2122349040 is 409432212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2122348995 and 2122349013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3220231 + ... + 3220889.

Almost surely, 2^2122349040 is an apocalyptic number.

2122349040 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 2122349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277940480).

2122349040 is an abundant number, since it is smaller than the sum of its proper divisors (6433531920).

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

2122349040 is a wasteful number, since it uses less digits than its factorization.

2122349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2122349040 is about 46068.9596149077. The cubic root of 2122349040 is about 1285.1059560266.

The spelling of 2122349040 in words is "two billion, one hundred twenty-two million, three hundred forty-nine thousand, forty".