2687296080 has 320 divisors, whose sum is σ = 10521612288. Its totient is φ = 552837120.

The previous prime is 2687296067. The next prime is 2687296093. The reversal of 2687296080 is 806927862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2687296067) and next prime (2687296093).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 654835 + ... + 658925.

Almost surely, 2^2687296080 is an apocalyptic number.

2687296080 is a gapful number since it is divisible by the number (20) 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 2687296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260806144).

2687296080 is an abundant number, since it is smaller than the sum of its proper divisors (7834316208).

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

2687296080 is a wasteful number, since it uses less digits than its factorization.

2687296080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2687296080 is about 51839.1365668835. The cubic root of 2687296080 is about 1390.2892760947.

The spelling of 2687296080 in words is "two billion, six hundred eighty-seven million, two hundred ninety-six thousand, eighty".