2102970240 has 288 divisors, whose sum is σ = 8448555960. Its totient is φ = 480614400.

The previous prime is 2102970211. The next prime is 2102970257. The reversal of 2102970240 is 420792012.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 278515 + ... + 285965.

Almost surely, 2^2102970240 is an apocalyptic number.

2102970240 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 2102970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224277980).

2102970240 is an abundant number, since it is smaller than the sum of its proper divisors (6345585720).

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

2102970240 is a wasteful number, since it uses less digits than its factorization.

2102970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7468 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2102970240 is about 45858.1534735100. The cubic root of 2102970240 is about 1281.1826309531.

The spelling of 2102970240 in words is "two billion, one hundred two million, nine hundred seventy thousand, two hundred forty".