1819616040 has 192 divisors, whose sum is σ = 6470530560. Its totient is φ = 439810560.

The previous prime is 1819616023. The next prime is 1819616093. The reversal of 1819616040 is 406169181.

It is a happy number.

It is a super-2 number, since 2×1819616040² = 6622005066050563200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1819615986 and 1819616004.

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, 2403342 + ... + 2404098.

It is an arithmetic number, because the mean of its divisors is an integer number (33700680).

Almost surely, 2^1819616040 is an apocalyptic number.

1819616040 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 1819616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235265280).

1819616040 is an abundant number, since it is smaller than the sum of its proper divisors (4650914520).

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

1819616040 is a wasteful number, since it uses less digits than its factorization.

1819616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 1819616040 is about 42656.9576974261. The cubic root of 1819616040 is about 1220.8432851082.

The spelling of 1819616040 in words is "one billion, eight hundred nineteen million, six hundred sixteen thousand, forty".