2102429280 has 288 divisors, whose sum is σ = 7818612480. Its totient is φ = 473410560.

The previous prime is 2102429279. The next prime is 2102429309. The reversal of 2102429280 is 829242012.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 1669291 + ... + 1670549.

It is an arithmetic number, because the mean of its divisors is an integer number (27147960).

Almost surely, 2^2102429280 is an apocalyptic number.

2102429280 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 2102429280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909306240).

2102429280 is an abundant number, since it is smaller than the sum of its proper divisors (5716183200).

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

2102429280 is a wasteful number, since it uses less digits than its factorization.

2102429280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2102429280 is about 45852.2549063838. The cubic root of 2102429280 is about 1281.0727660299.

The spelling of 2102429280 in words is "two billion, one hundred two million, four hundred twenty-nine thousand, two hundred eighty".