2427691680 has 72 divisors (see below), whose sum is σ = 8284502772. Its totient is φ = 647384064.

The previous prime is 2427691657. The next prime is 2427691729. The reversal of 2427691680 is 861967242.

It is a happy number.

2427691680 is a `hidden beast` number, since 2 + 427 + 69 + 168 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2277580176 + 150111504 = 47724^2 + 12252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841509 + ... + 844388.

Almost surely, 2^2427691680 is an apocalyptic number.

2427691680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2427691680 is an abundant number, since it is smaller than the sum of its proper divisors (5856811092).

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

2427691680 is a wasteful number, since it uses less digits than its factorization.

2427691680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685918 (or 1685907 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2427691680 is about 49271.6112990026. The cubic root of 2427691680 is about 1343.9955888461.

The spelling of 2427691680 in words is "two billion, four hundred twenty-seven million, six hundred ninety-one thousand, six hundred eighty".