1916509140 has 384 divisors, whose sum is σ = 7517368320. Its totient is φ = 394523136.

The previous prime is 1916509139. The next prime is 1916509151. The reversal of 1916509140 is 419056191.

1916509140 is a `hidden beast` number, since 1 + 9 + 1 + 6 + 509 + 140 = 666.

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 = 1916509095 and 1916509104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2112567 + ... + 2113473.

It is an arithmetic number, because the mean of its divisors is an integer number (19576480).

Almost surely, 2^1916509140 is an apocalyptic number.

1916509140 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 1916509140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758684160).

1916509140 is an abundant number, since it is smaller than the sum of its proper divisors (5600859180).

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

1916509140 is a wasteful number, since it uses less digits than its factorization.

1916509140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1916509140 is about 43777.9526702654. The cubic root of 1916509140 is about 1242.1392875129.

The spelling of 1916509140 in words is "one billion, nine hundred sixteen million, five hundred nine thousand, one hundred forty".