1952625920 has 144 divisors (see below), whose sum is σ = 5368688640. Its totient is φ = 666550272.

The previous prime is 1952625893. The next prime is 1952625949. The reversal of 1952625920 is 295262591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3431396 + ... + 3431964.

It is an arithmetic number, because the mean of its divisors is an integer number (37282560).

Almost surely, 2^1952625920 is an apocalyptic number.

1952625920 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 1952625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684344320).

1952625920 is an abundant number, since it is smaller than the sum of its proper divisors (3416062720).

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

1952625920 is an equidigital number, since it uses as much as digits as its factorization.

1952625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

The square root of 1952625920 is about 44188.5270177679. The cubic root of 1952625920 is about 1249.8935205300.

The spelling of 1952625920 in words is "one billion, nine hundred fifty-two million, six hundred twenty-five thousand, nine hundred twenty".