2687726016 has 224 divisors, whose sum is σ = 8441740800. Its totient is φ = 836075520.

The previous prime is 2687726011. The next prime is 2687726021. The reversal of 2687726016 is 6106277862.

It is an interprime number because it is at equal distance from previous prime (2687726011) and next prime (2687726021).

It is a super-2 number, since 2×2687726016² = 14447742274166464512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2687726011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2330496 + ... + 2331648.

Almost surely, 2^2687726016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2687726016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4220870400).

2687726016 is an abundant number, since it is smaller than the sum of its proper divisors (5754014784).

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

2687726016 is a wasteful number, since it uses less digits than its factorization.

2687726016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2687726016 is about 51843.2832293635. The cubic root of 2687726016 is about 1390.3634154921.

The spelling of 2687726016 in words is "two billion, six hundred eighty-seven million, seven hundred twenty-six thousand, sixteen".