1842973440 has 576 divisors, whose sum is σ = 7685701632. Its totient is φ = 364953600.

The previous prime is 1842973357. The next prime is 1842973453. The reversal of 1842973440 is 443792481.

It is a super-2 number, since 2×1842973440² = 6793102201090867200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1842973392 and 1842973401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6800505 + ... + 6800775.

It is an arithmetic number, because the mean of its divisors is an integer number (13343232).

Almost surely, 2^1842973440 is an apocalyptic number.

1842973440 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 1842973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842850816).

1842973440 is an abundant number, since it is smaller than the sum of its proper divisors (5842728192).

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

1842973440 is a wasteful number, since it uses less digits than its factorization.

1842973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1842973440 is about 42929.8665266968. The cubic root of 1842973440 is about 1226.0448539307.

The spelling of 1842973440 in words is "one billion, eight hundred forty-two million, nine hundred seventy-three thousand, four hundred forty".