2687061936 has 160 divisors (see below), whose sum is σ = 7727505408. Its totient is φ = 799303680.

The previous prime is 2687061931. The next prime is 2687061991. The reversal of 2687061936 is 6391607862.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2687061931) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3248755 + ... + 3249581.

Almost surely, 2^2687061936 is an apocalyptic number.

2687061936 is a gapful number since it is divisible by the number (26) 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 2687061936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863752704).

2687061936 is an abundant number, since it is smaller than the sum of its proper divisors (5040443472).

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

2687061936 is a wasteful number, since it uses less digits than its factorization.

2687061936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2687061936 is about 51836.8781467403. The cubic root of 2687061936 is about 1390.2488963055.

The spelling of 2687061936 in words is "two billion, six hundred eighty-seven million, sixty-one thousand, nine hundred thirty-six".