2746224000 has 640 divisors, whose sum is σ = 11051520480. Its totient is φ = 671846400.

The previous prime is 2746223983. The next prime is 2746224017. The reversal of 2746224000 is 4226472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2746223983) and next prime (2746224017).

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 (27).

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16847919 + ... + 16848081.

Almost surely, 2^2746224000 is an apocalyptic number.

2746224000 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 2746224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525760240).

2746224000 is an abundant number, since it is smaller than the sum of its proper divisors (8305296480).

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

2746224000 is a wasteful number, since it uses less digits than its factorization.

2746224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2746224000 is about 52404.4272938842. The cubic root of 2746224000 is about 1400.3781291536.

The spelling of 2746224000 in words is "two billion, seven hundred forty-six million, two hundred twenty-four thousand".