2005372950 has 96 divisors (see below), whose sum is σ = 5867243520. Its totient is φ = 443577600.

The previous prime is 2005372937. The next prime is 2005372973. The reversal of 2005372950 is 592735002.

It is a congruent number.

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, 1746 + ... + 63354.

It is an arithmetic number, because the mean of its divisors is an integer number (61117120).

Almost surely, 2^2005372950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005372950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933621760).

2005372950 is an abundant number, since it is smaller than the sum of its proper divisors (3861870570).

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

2005372950 is a wasteful number, since it uses less digits than its factorization.

2005372950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61662 (or 61657 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 2005372950 is about 44781.3906662131. The cubic root of 2005372950 is about 1261.0482898635.

The spelling of 2005372950 in words is "two billion, five million, three hundred seventy-two thousand, nine hundred fifty".