1930267152 has 160 divisors (see below), whose sum is σ = 6362688000. Its totient is φ = 554117760.

The previous prime is 1930267127. The next prime is 1930267169. The reversal of 1930267152 is 2517620391.

It is a super-2 number, since 2×1930267152² = 7451862556180382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79599 + ... + 100977.

It is an arithmetic number, because the mean of its divisors is an integer number (39766800).

Almost surely, 2^1930267152 is an apocalyptic number.

1930267152 is a gapful number since it is divisible by the number (12) 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 1930267152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181344000).

1930267152 is an abundant number, since it is smaller than the sum of its proper divisors (4432420848).

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

1930267152 is a wasteful number, since it uses less digits than its factorization.

1930267152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21426 (or 21414 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1930267152 is about 43934.8057011750. The cubic root of 1930267152 is about 1245.1045114762.

The spelling of 1930267152 in words is "one billion, nine hundred thirty million, two hundred sixty-seven thousand, one hundred fifty-two".