1924769952 has 192 divisors, whose sum is σ = 6496761600. Its totient is φ = 549794304.

The previous prime is 1924769941. The next prime is 1924769953. The reversal of 1924769952 is 2599674291.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1924769953) 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, 487924 + ... + 491852.

It is an arithmetic number, because the mean of its divisors is an integer number (33837300).

Almost surely, 2^1924769952 is an apocalyptic number.

1924769952 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 1924769952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3248380800).

1924769952 is an abundant number, since it is smaller than the sum of its proper divisors (4571991648).

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

1924769952 is an frugal number, since it uses more digits than its factorization.

1924769952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3941 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 1924769952 is about 43872.2002183615. The cubic root of 1924769952 is about 1243.9214116185.

The spelling of 1924769952 in words is "one billion, nine hundred twenty-four million, seven hundred sixty-nine thousand, nine hundred fifty-two".