2085970320 has 240 divisors, whose sum is σ = 8303218560. Its totient is φ = 476762112.

The previous prime is 2085970307. The next prime is 2085970339. The reversal of 2085970320 is 230795802.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 128416 + ... + 143744.

It is an arithmetic number, because the mean of its divisors is an integer number (34596744).

Almost surely, 2^2085970320 is an apocalyptic number.

2085970320 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 2085970320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151609280).

2085970320 is an abundant number, since it is smaller than the sum of its proper divisors (6217248240).

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

2085970320 is a wasteful number, since it uses less digits than its factorization.

2085970320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15364 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2085970320 is about 45672.4240652935. The cubic root of 2085970320 is about 1277.7210261933.

The spelling of 2085970320 in words is "two billion, eighty-five million, nine hundred seventy thousand, three hundred twenty".