2686141440 has 528 divisors, whose sum is σ = 10300372992. Its totient is φ = 668860416.

The previous prime is 2686141433. The next prime is 2686141477. The reversal of 2686141440 is 441416862.

It is a happy number.

2686141440 is a `hidden beast` number, since 26 + 8 + 614 + 14 + 4 + 0 = 666.

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 = 2686141395 and 2686141404.

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, 21150657 + ... + 21150783.

Almost surely, 2^2686141440 is an apocalyptic number.

2686141440 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 2686141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150186496).

2686141440 is an abundant number, since it is smaller than the sum of its proper divisors (7614231552).

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

2686141440 is a wasteful number, since it uses less digits than its factorization.

2686141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2686141440 is about 51827.9986107895. The cubic root of 2686141440 is about 1390.0901275169.

The spelling of 2686141440 in words is "two billion, six hundred eighty-six million, one hundred forty-one thousand, four hundred forty".