2684912400 has 240 divisors, whose sum is σ = 9816038400. Its totient is φ = 696522240.

The previous prime is 2684912369. The next prime is 2684912411. The reversal of 2684912400 is 42194862.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396241 + ... + 402959.

It is an arithmetic number, because the mean of its divisors is an integer number (40900160).

Almost surely, 2^2684912400 is an apocalyptic number.

2684912400 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 2684912400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4908019200).

2684912400 is an abundant number, since it is smaller than the sum of its proper divisors (7131126000).

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

2684912400 is a wasteful number, since it uses less digits than its factorization.

2684912400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2684912400 is about 51816.1403425612. The cubic root of 2684912400 is about 1389.8780839537.

The spelling of 2684912400 in words is "two billion, six hundred eighty-four million, nine hundred twelve thousand, four hundred".