1952123980 has 96 divisors (see below), whose sum is σ = 4391936640. Its totient is φ = 727480320.

The previous prime is 1952123977. The next prime is 1952123981. The reversal of 1952123980 is 893212591.

It is not an unprimeable number, because it can be changed into a prime (1952123981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2448942 + ... + 2449738.

It is an arithmetic number, because the mean of its divisors is an integer number (45749340).

Almost surely, 2^1952123980 is an apocalyptic number.

1952123980 is a gapful number since it is divisible by the number (10) 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 1952123980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195968320).

1952123980 is an abundant number, since it is smaller than the sum of its proper divisors (2439812660).

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

1952123980 is a wasteful number, since it uses less digits than its factorization.

1952123980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 1952123980 is about 44182.8471241952. The cubic root of 1952123980 is about 1249.7864125731.

The spelling of 1952123980 in words is "one billion, nine hundred fifty-two million, one hundred twenty-three thousand, nine hundred eighty".