2700210240 has 336 divisors, whose sum is σ = 11431999488. Its totient is φ = 569659392.

The previous prime is 2700210223. The next prime is 2700210269. The reversal of 2700210240 is 420120072.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2700210240² = 14582270680401715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256929 + ... + 267231.

It is an arithmetic number, because the mean of its divisors is an integer number (34023808).

Almost surely, 2^2700210240 is an apocalyptic number.

2700210240 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 2700210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715999744).

2700210240 is an abundant number, since it is smaller than the sum of its proper divisors (8731789248).

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

2700210240 is a wasteful number, since it uses less digits than its factorization.

2700210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10346 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2700210240 is about 51963.5472230293. The cubic root of 2700210240 is about 1392.5127916508.

The spelling of 2700210240 in words is "two billion, seven hundred million, two hundred ten thousand, two hundred forty".