2686540248 has 144 divisors (see below), whose sum is σ = 8499773880. Its totient is φ = 764338176.

The previous prime is 2686540247. The next prime is 2686540303. The reversal of 2686540248 is 8420456862.

2686540248 is a `hidden beast` number, since 2 + 6 + 86 + 540 + 24 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2686540247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 905215 + ... + 908177.

Almost surely, 2^2686540248 is an apocalyptic number.

2686540248 is a gapful number since it is divisible by the number (28) 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 2686540248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249886940).

2686540248 is an abundant number, since it is smaller than the sum of its proper divisors (5813233632).

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

2686540248 is a wasteful number, since it uses less digits than its factorization.

2686540248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2686540248 is about 51831.8458864818. The cubic root of 2686540248 is about 1390.1589190831.

The spelling of 2686540248 in words is "two billion, six hundred eighty-six million, five hundred forty thousand, two hundred forty-eight".