2686440960 has 240 divisors, whose sum is σ = 10633667616. Its totient is φ = 614006784.

The previous prime is 2686440959. The next prime is 2686440961. The reversal of 2686440960 is 690446862.

It is an interprime number because it is at equal distance from previous prime (2686440959) and next prime (2686440961).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686440961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152952 + ... + 169608.

Almost surely, 2^2686440960 is an apocalyptic number.

2686440960 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 2686440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5316833808).

2686440960 is an abundant number, since it is smaller than the sum of its proper divisors (7947226656).

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

2686440960 is a wasteful number, since it uses less digits than its factorization.

2686440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16693 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2686440960 is about 51830.8880880889. Note that the first 3 decimals coincide. The cubic root of 2686440960 is about 1390.1417932402.

The spelling of 2686440960 in words is "two billion, six hundred eighty-six million, four hundred forty thousand, nine hundred sixty".