2002272480 has 384 divisors, whose sum is σ = 7643341440. Its totient is φ = 486604800.

The previous prime is 2002272469. The next prime is 2002272509. The reversal of 2002272480 is 842722002.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5671984 + ... + 5672336.

It is an arithmetic number, because the mean of its divisors is an integer number (19904535).

Almost surely, 2^2002272480 is an apocalyptic number.

2002272480 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 2002272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821670720).

2002272480 is an abundant number, since it is smaller than the sum of its proper divisors (5641068960).

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

2002272480 is a wasteful number, since it uses less digits than its factorization.

2002272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2002272480 is about 44746.7594357401. The cubic root of 2002272480 is about 1260.3980601723.

Adding to 2002272480 its reverse (842722002), we get a palindrome (2844994482).

The spelling of 2002272480 in words is "two billion, two million, two hundred seventy-two thousand, four hundred eighty".