2075245920 has 240 divisors, whose sum is σ = 7990245648. Its totient is φ = 503055360.

The previous prime is 2075245901. The next prime is 2075245933. The reversal of 2075245920 is 295425702.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 135282 + ... + 149838.

Almost surely, 2^2075245920 is an apocalyptic number.

2075245920 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 2075245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995122824).

2075245920 is an abundant number, since it is smaller than the sum of its proper divisors (5914999728).

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

2075245920 is a wasteful number, since it uses less digits than its factorization.

2075245920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14595 (or 14578 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2075245920 is about 45554.8671384299. The cubic root of 2075245920 is about 1275.5275878853.

It can be divided in two parts, 207524 and 5920, that added together give a square (213444 = 462²).

The spelling of 2075245920 in words is "two billion, seventy-five million, two hundred forty-five thousand, nine hundred twenty".