2626680840 has 256 divisors, whose sum is σ = 9787392000. Its totient is φ = 550333440.

The previous prime is 2626680839. The next prime is 2626680883. The reversal of 2626680840 is 480866262.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2626680792 and 2626680801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 492106 + ... + 497414.

It is an arithmetic number, because the mean of its divisors is an integer number (38232000).

Almost surely, 2^2626680840 is an apocalyptic number.

2626680840 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 2626680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893696000).

2626680840 is an abundant number, since it is smaller than the sum of its proper divisors (7160711160).

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

2626680840 is a wasteful number, since it uses less digits than its factorization.

2626680840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2626680840 is about 51251.1545235812. The cubic root of 2626680840 is about 1379.7564577574.

The spelling of 2626680840 in words is "two billion, six hundred twenty-six million, six hundred eighty thousand, eight hundred forty".