2684352000 has 640 divisors, whose sum is σ = 10295341056. Its totient is φ = 614400000.

The previous prime is 2684351963. The next prime is 2684352029. The reversal of 2684352000 is 2534862.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65471980 + ... + 65472020.

Almost surely, 2^2684352000 is an apocalyptic number.

2684352000 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 2684352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147670528).

2684352000 is an abundant number, since it is smaller than the sum of its proper divisors (7610989056).

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

2684352000 is a wasteful number, since it uses less digits than its factorization.

2684352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2684352000 is about 51810.7324788986. The cubic root of 2684352000 is about 1389.7813778967.

Adding to 2684352000 its reverse (2534862), we get a palindrome (2686886862).

The spelling of 2684352000 in words is "two billion, six hundred eighty-four million, three hundred fifty-two thousand".