2083221504 has 624 divisors, whose sum is σ = 8014336512. Its totient is φ = 525533184.

The previous prime is 2083221493. The next prime is 2083221509. The reversal of 2083221504 is 4051223802.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083221509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90574837 + ... + 90574859.

It is an arithmetic number, because the mean of its divisors is an integer number (12843488).

Almost surely, 2^2083221504 is an apocalyptic number.

2083221504 is a gapful number since it is divisible by the number (24) 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 2083221504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007168256).

2083221504 is an abundant number, since it is smaller than the sum of its proper divisors (5931115008).

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

2083221504 is an equidigital number, since it uses as much as digits as its factorization.

2083221504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2083221504 is about 45642.3214133550. The cubic root of 2083221504 is about 1277.1595346809.

The spelling of 2083221504 in words is "two billion, eighty-three million, two hundred twenty-one thousand, five hundred four".