2102993280 has 320 divisors, whose sum is σ = 7597735200. Its totient is φ = 554287104.

The previous prime is 2102993273. The next prime is 2102993281. The reversal of 2102993280 is 823992012.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102993281) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5857741 + ... + 5858099.

Almost surely, 2^2102993280 is an apocalyptic number.

2102993280 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 2102993280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798867600).

2102993280 is an abundant number, since it is smaller than the sum of its proper divisors (5494741920).

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

2102993280 is a wasteful number, since it uses less digits than its factorization.

2102993280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2102993280 is about 45858.4046822390. The cubic root of 2102993280 is about 1281.1873097861.

The spelling of 2102993280 in words is "two billion, one hundred two million, nine hundred ninety-three thousand, two hundred eighty".