1840749120 has 672 divisors, whose sum is σ = 7908316416. Its totient is φ = 383385600.

The previous prime is 1840749107. The next prime is 1840749143. The reversal of 1840749120 is 219470481.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14051455 + ... + 14051585.

It is an arithmetic number, because the mean of its divisors is an integer number (11768328).

Almost surely, 2^1840749120 is an apocalyptic number.

1840749120 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 1840749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954158208).

1840749120 is an abundant number, since it is smaller than the sum of its proper divisors (6067567296).

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

1840749120 is a wasteful number, since it uses less digits than its factorization.

1840749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1840749120 is about 42903.9522654965. The cubic root of 1840749120 is about 1225.5514096768.

The spelling of 1840749120 in words is "one billion, eight hundred forty million, seven hundred forty-nine thousand, one hundred twenty".