2626314240 has 448 divisors, whose sum is σ = 9625340160. Its totient is φ = 605552640.

The previous prime is 2626314239. The next prime is 2626314281. The reversal of 2626314240 is 424136262.

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 = 2626314198 and 2626314207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39198687 + ... + 39198753.

Almost surely, 2^2626314240 is an apocalyptic number.

2626314240 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 2626314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812670080).

2626314240 is an abundant number, since it is smaller than the sum of its proper divisors (6999025920).

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

2626314240 is a wasteful number, since it uses less digits than its factorization.

2626314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2626314240 is about 51247.5778939844. The cubic root of 2626314240 is about 1379.6922649247.

The spelling of 2626314240 in words is "two billion, six hundred twenty-six million, three hundred fourteen thousand, two hundred forty".