2621472000 has 576 divisors, whose sum is σ = 10285277184. Its totient is φ = 579379200.

The previous prime is 2621471999. The next prime is 2621472013. The reversal of 2621472000 is 2741262.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 31583959 + ... + 31584041.

It is an arithmetic number, because the mean of its divisors is an integer number (17856384).

Almost surely, 2^2621472000 is an apocalyptic number.

2621472000 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 2621472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142638592).

2621472000 is an abundant number, since it is smaller than the sum of its proper divisors (7663805184).

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

2621472000 is an equidigital number, since it uses as much as digits as its factorization.

2621472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2621472000 is about 51200.3124990463. The cubic root of 2621472000 is about 1378.8438121046.

The spelling of 2621472000 in words is "two billion, six hundred twenty-one million, four hundred seventy-two thousand".