2678837616 has 320 divisors, whose sum is σ = 9589386240. Its totient is φ = 697144320.

The previous prime is 2678837591. The next prime is 2678837653. The reversal of 2678837616 is 6167388762.

2678837616 is a `hidden beast` number, since 267 + 8 + 8 + 376 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3262486 + ... + 3263306.

It is an arithmetic number, because the mean of its divisors is an integer number (29966832).

Almost surely, 2^2678837616 is an apocalyptic number.

2678837616 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 2678837616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794693120).

2678837616 is an abundant number, since it is smaller than the sum of its proper divisors (6910548624).

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

2678837616 is a wasteful number, since it uses less digits than its factorization.

2678837616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 929 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2678837616 is about 51757.4885016651. The cubic root of 2678837616 is about 1388.8290633938.

The spelling of 2678837616 in words is "two billion, six hundred seventy-eight million, eight hundred thirty-seven thousand, six hundred sixteen".