1820735040 has 224 divisors, whose sum is σ = 6130869120. Its totient is φ = 456523776.

The previous prime is 1820735029. The next prime is 1820735047. The reversal of 1820735040 is 405370281.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1820734989 and 1820735007.

It is not an unprimeable number, because it can be changed into a prime (1820735047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3155232 + ... + 3155808.

Almost surely, 2^1820735040 is an apocalyptic number.

1820735040 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 1820735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065434560).

1820735040 is an abundant number, since it is smaller than the sum of its proper divisors (4310134080).

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

1820735040 is a wasteful number, since it uses less digits than its factorization.

1820735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1820735040 is about 42670.0719474434. The cubic root of 1820735040 is about 1221.0934924161.

The spelling of 1820735040 in words is "one billion, eight hundred twenty million, seven hundred thirty-five thousand, forty".