2002553280 has 672 divisors, whose sum is σ = 8822521344. Its totient is φ = 421023744.

The previous prime is 2002553261. The next prime is 2002553281. The reversal of 2002553280 is 823552002.

It is a tau number, because it is divible by the number of its divisors (672).

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 (2002553281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7076019 + ... + 7076301.

It is an arithmetic number, because the mean of its divisors is an integer number (13128752).

Almost surely, 2^2002553280 is an apocalyptic number.

2002553280 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 2002553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411260672).

2002553280 is an abundant number, since it is smaller than the sum of its proper divisors (6819968064).

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

2002553280 is a wasteful number, since it uses less digits than its factorization.

2002553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2002553280 is about 44749.8969831216. The cubic root of 2002553280 is about 1260.4569771005.

The spelling of 2002553280 in words is "two billion, two million, five hundred fifty-three thousand, two hundred eighty".