1852241664 has 288 divisors, whose sum is σ = 6428298240. Its totient is φ = 459472896.

The previous prime is 1852241639. The next prime is 1852241689. The reversal of 1852241664 is 4661422581.

It is a happy number.

1852241664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1852241639) and next prime (1852241689).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1187317 + ... + 1188875.

It is an arithmetic number, because the mean of its divisors is an integer number (22320480).

Almost surely, 2^1852241664 is an apocalyptic number.

1852241664 is a gapful number since it is divisible by the number (14) 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 1852241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214149120).

1852241664 is an abundant number, since it is smaller than the sum of its proper divisors (4576056576).

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

1852241664 is a wasteful number, since it uses less digits than its factorization.

1852241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its digits is 92160, while the sum is 39.

The square root of 1852241664 is about 43037.6772607445. The cubic root of 1852241664 is about 1228.0966583156.

The spelling of 1852241664 in words is "one billion, eight hundred fifty-two million, two hundred forty-one thousand, six hundred sixty-four".