2684314080 has 432 divisors, whose sum is σ = 11058269040. Its totient is φ = 613122048.

The previous prime is 2684314069. The next prime is 2684314121. The reversal of 2684314080 is 804134862.

2684314080 is a `hidden beast` number, since 268 + 4 + 314 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904416 + ... + 1905824.

It is an arithmetic number, because the mean of its divisors is an integer number (25597845).

Almost surely, 2^2684314080 is an apocalyptic number.

2684314080 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 2684314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529134520).

2684314080 is an abundant number, since it is smaller than the sum of its proper divisors (8373954960).

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

2684314080 is a wasteful number, since it uses less digits than its factorization.

2684314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2684314080 is about 51810.3665302611. The cubic root of 2684314080 is about 1389.7748337031.

The spelling of 2684314080 in words is "two billion, six hundred eighty-four million, three hundred fourteen thousand, eighty".