2070282240 has 432 divisors, whose sum is σ = 8015284368. Its totient is φ = 509607936.

The previous prime is 2070282239. The next prime is 2070282251. The reversal of 2070282240 is 422820702.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159252474 + ... + 159252486.

It is an arithmetic number, because the mean of its divisors is an integer number (18553899).

Almost surely, 2^2070282240 is an apocalyptic number.

2070282240 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 2070282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007642184).

2070282240 is an abundant number, since it is smaller than the sum of its proper divisors (5945002128).

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

2070282240 is an frugal number, since it uses more digits than its factorization.

2070282240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2070282240 is about 45500.3542843350. The cubic root of 2070282240 is about 1274.5098184913.

The spelling of 2070282240 in words is "two billion, seventy million, two hundred eighty-two thousand, two hundred forty".