1864980288 has 196 divisors, whose sum is σ = 5636837088. Its totient is φ = 611815680.

The previous prime is 1864980241. The next prime is 1864980289. The reversal of 1864980288 is 8820894681.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864980289) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3312295 + ... + 3312857.

Almost surely, 2^1864980288 is an apocalyptic number.

1864980288 is a gapful number since it is divisible by the number (18) 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 1864980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818418544).

1864980288 is an abundant number, since it is smaller than the sum of its proper divisors (3771856800).

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

1864980288 is an frugal number, since it uses more digits than its factorization.

1864980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 1864980288 is about 43185.4175387943. The cubic root of 1864980288 is about 1230.9056031519.

The spelling of 1864980288 in words is "one billion, eight hundred sixty-four million, nine hundred eighty thousand, two hundred eighty-eight".