2005950120 has 32 divisors (see below), whose sum is σ = 6017850720. Its totient is φ = 534920000.

The previous prime is 2005950113. The next prime is 2005950131. The reversal of 2005950120 is 210595002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8358006 + ... + 8358245.

It is an arithmetic number, because the mean of its divisors is an integer number (188057835).

Almost surely, 2^2005950120 is an apocalyptic number.

2005950120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005950120 is an abundant number, since it is smaller than the sum of its proper divisors (4011900600).

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

2005950120 is a wasteful number, since it uses less digits than its factorization.

2005950120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16716265 (or 16716261 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2005950120 is about 44787.8345089378. The cubic root of 2005950120 is about 1261.1692597851.

The spelling of 2005950120 in words is "two billion, five million, nine hundred fifty thousand, one hundred twenty".