1834596540 has 144 divisors (see below), whose sum is σ = 6595610112. Its totient is φ = 419328576.

The previous prime is 1834596529. The next prime is 1834596557. The reversal of 1834596540 is 456954381.

1834596540 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 596 + 54 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 7057 + ... + 60983.

It is an arithmetic number, because the mean of its divisors is an integer number (45802848).

Almost surely, 2^1834596540 is an apocalyptic number.

1834596540 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 1834596540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297805056).

1834596540 is an abundant number, since it is smaller than the sum of its proper divisors (4761013572).

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

1834596540 is a wasteful number, since it uses less digits than its factorization.

1834596540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53958 (or 53944 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 1834596540 is about 42832.1904646494. The cubic root of 1834596540 is about 1224.1844445230.

The spelling of 1834596540 in words is "one billion, eight hundred thirty-four million, five hundred ninety-six thousand, five hundred forty".