1842653952 has 108 divisors (see below), whose sum is σ = 5345754960. Its totient is φ = 610412544.

The previous prime is 1842653951. The next prime is 1842653959. The reversal of 1842653952 is 2593562481.

It is a junction number, because it is equal to n+sod(n) for n = 1842653898 and 1842653907.

It is not an unprimeable number, because it can be changed into a prime (1842653951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 382374 + ... + 387162.

Almost surely, 2^1842653952 is an apocalyptic number.

1842653952 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 1842653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672877480).

1842653952 is an abundant number, since it is smaller than the sum of its proper divisors (3503101008).

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

1842653952 is a wasteful number, since it uses less digits than its factorization.

1842653952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4961 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1842653952 is about 42926.1453196068. The cubic root of 1842653952 is about 1225.9740029811.

The spelling of 1842653952 in words is "one billion, eight hundred forty-two million, six hundred fifty-three thousand, nine hundred fifty-two".