1820496552 has 256 divisors, whose sum is σ = 5786726400. Its totient is φ = 465315840.

The previous prime is 1820496541. The next prime is 1820496553. The reversal of 1820496552 is 2556940281.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1820496553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10057902 + ... + 10058082.

It is an arithmetic number, because the mean of its divisors is an integer number (22604400).

Almost surely, 2^1820496552 is an apocalyptic number.

1820496552 is a gapful number since it is divisible by the number (12) 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 1820496552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893363200).

1820496552 is an abundant number, since it is smaller than the sum of its proper divisors (3966229848).

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

1820496552 is a wasteful number, since it uses less digits than its factorization.

1820496552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1820496552 is about 42667.2772977138. The cubic root of 1820496552 is about 1221.0401753300.

The spelling of 1820496552 in words is "one billion, eight hundred twenty million, four hundred ninety-six thousand, five hundred fifty-two".