2687948544 has 144 divisors (see below), whose sum is σ = 7858771200. Its totient is φ = 811819008.

The previous prime is 2687948531. The next prime is 2687948569. The reversal of 2687948544 is 4458497862.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331612 + ... + 339620.

It is an arithmetic number, because the mean of its divisors is an integer number (54574800).

Almost surely, 2^2687948544 is an apocalyptic number.

2687948544 is a gapful number since it is divisible by the number (24) 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 2687948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3929385600).

2687948544 is an abundant number, since it is smaller than the sum of its proper divisors (5170822656).

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

2687948544 is a wasteful number, since it uses less digits than its factorization.

2687948544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 8056 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The square root of 2687948544 is about 51845.4293453145. The cubic root of 2687948544 is about 1390.4017857538.

The spelling of 2687948544 in words is "two billion, six hundred eighty-seven million, nine hundred forty-eight thousand, five hundred forty-four".