1812242880 has 336 divisors, whose sum is σ = 7172577984. Its totient is φ = 411402240.

The previous prime is 1812242863. The next prime is 1812242893. The reversal of 1812242880 is 882422181.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1812242880² = 6568448512221388800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4858374 + ... + 4858746.

Almost surely, 2^1812242880 is an apocalyptic number.

1812242880 is a gapful number since it is divisible by the number (10) 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 1812242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586288992).

1812242880 is an abundant number, since it is smaller than the sum of its proper divisors (5360335104).

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

1812242880 is a wasteful number, since it uses less digits than its factorization.

1812242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1812242880 is about 42570.4460864577. The cubic root of 1812242880 is about 1219.1920835661.

The spelling of 1812242880 in words is "one billion, eight hundred twelve million, two hundred forty-two thousand, eight hundred eighty".