2622468240 has 600 divisors, whose sum is σ = 10809417528. Its totient is φ = 568995840.

The previous prime is 2622468227. The next prime is 2622468241. The reversal of 2622468240 is 428642262.

2622468240 is a `hidden beast` number, since 2 + 622 + 4 + 6 + 8 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182898576 + 2439569664 = 13524^2 + 49392^2 .

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 = 2622468195 and 2622468204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2622468241) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 63962620 + ... + 63962660.

Almost surely, 2^2622468240 is an apocalyptic number.

2622468240 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 2622468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404708764).

2622468240 is an abundant number, since it is smaller than the sum of its proper divisors (8186949288).

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

2622468240 is a wasteful number, since it uses less digits than its factorization.

2622468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2622468240 is about 51210.0404217767. The cubic root of 2622468240 is about 1379.0184576708.

The spelling of 2622468240 in words is "two billion, six hundred twenty-two million, four hundred sixty-eight thousand, two hundred forty".