2122496640 has 384 divisors, whose sum is σ = 8086478400. Its totient is φ = 508723200.

The previous prime is 2122496627. The next prime is 2122496657. The reversal of 2122496640 is 466942212.

2122496640 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 4 + 9 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2122496640² = 9009983973622579200, which contains 22 as substring.

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 = 2122496595 and 2122496604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8806920 + ... + 8807160.

Almost surely, 2^2122496640 is an apocalyptic number.

2122496640 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 2122496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043239200).

2122496640 is an abundant number, since it is smaller than the sum of its proper divisors (5963981760).

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

2122496640 is a wasteful number, since it uses less digits than its factorization.

2122496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2122496640 is about 46070.5615333697. The cubic root of 2122496640 is about 1285.1357464834.

The spelling of 2122496640 in words is "two billion, one hundred twenty-two million, four hundred ninety-six thousand, six hundred forty".