2686249440 has 384 divisors, whose sum is σ = 10821565440. Its totient is φ = 609638400.

The previous prime is 2686249427. The next prime is 2686249453. The reversal of 2686249440 is 449426862.

2686249440 is a `hidden beast` number, since 2 + 68 + 62 + 494 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (2686249427) and next prime (2686249453).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6380430 + ... + 6380850.

It is an arithmetic number, because the mean of its divisors is an integer number (28181160).

Almost surely, 2^2686249440 is an apocalyptic number.

2686249440 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 2686249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410782720).

2686249440 is an abundant number, since it is smaller than the sum of its proper divisors (8135316000).

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

2686249440 is a wasteful number, since it uses less digits than its factorization.

2686249440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2686249440 is about 51829.0405081939. The cubic root of 2686249440 is about 1390.1087574272.

The spelling of 2686249440 in words is "two billion, six hundred eighty-six million, two hundred forty-nine thousand, four hundred forty".