2684563840 has 256 divisors, whose sum is σ = 7865424000. Its totient is φ = 855244800.

The previous prime is 2684563837. The next prime is 2684563853. The reversal of 2684563840 is 483654862.

It is a super-2 number, since 2×2684563840² = 14413766022071091200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7691986 + ... + 7692334.

Almost surely, 2^2684563840 is an apocalyptic number.

2684563840 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 2684563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932712000).

2684563840 is an abundant number, since it is smaller than the sum of its proper divisors (5180860160).

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

2684563840 is a wasteful number, since it uses less digits than its factorization.

2684563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The square root of 2684563840 is about 51812.7768026382. The cubic root of 2684563840 is about 1389.8179358870.

It can be divided in two parts, 2684563 and 840, that added together give a triangular number (2685403 = T₂₃₁₇).

The spelling of 2684563840 in words is "two billion, six hundred eighty-four million, five hundred sixty-three thousand, eight hundred forty".