2085228240 has 240 divisors, whose sum is σ = 6850418688. Its totient is φ = 524289024.

The previous prime is 2085228239. The next prime is 2085228241. The reversal of 2085228240 is 428225802.

It is an interprime number because it is at equal distance from previous prime (2085228239) and next prime (2085228241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085228241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16419057 + ... + 16419183.

Almost surely, 2^2085228240 is an apocalyptic number.

2085228240 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 2085228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425209344).

2085228240 is an abundant number, since it is smaller than the sum of its proper divisors (4765190448).

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

2085228240 is a wasteful number, since it uses less digits than its factorization.

2085228240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 2085228240 is about 45664.2994033632. The cubic root of 2085228240 is about 1277.5694926090.

The spelling of 2085228240 in words is "two billion, eighty-five million, two hundred twenty-eight thousand, two hundred forty".