2684429800 has 144 divisors (see below), whose sum is σ = 6919244640. Its totient is φ = 967599360.

The previous prime is 2684429773. The next prime is 2684429821. The reversal of 2684429800 is 89244862.

It is a super-3 number, since 3×2684429800³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1452477 + ... + 1454323.

It is an arithmetic number, because the mean of its divisors is an integer number (48050310).

Almost surely, 2^2684429800 is an apocalyptic number.

2684429800 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 2684429800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459622320).

2684429800 is an abundant number, since it is smaller than the sum of its proper divisors (4234814840).

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

2684429800 is a wasteful number, since it uses less digits than its factorization.

2684429800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 2684429800 is about 51811.4832831487. The cubic root of 2684429800 is about 1389.7948043458.

It can be divided in two parts, 26844 and 29800, that added together give a square (56644 = 238²).

The spelling of 2684429800 in words is "two billion, six hundred eighty-four million, four hundred twenty-nine thousand, eight hundred".