1830112554240 has 216 divisors, whose sum is σ = 6334228417608. Its totient is φ = 487858176000.

The previous prime is 1830112554227. The next prime is 1830112554269. The reversal of 1830112554240 is 424552110381.

1830112554240 is a `hidden beast` number, since 1 + 83 + 0 + 1 + 1 + 2 + 554 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 348458812416 + 1481653741824 = 590304^2 + 1217232^2 .

It is a super-2 number, since 2×1830112554240² (a number of 25 digits) 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 = 1830112554195 and 1830112554204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34545052 + ... + 34597988.

It is an arithmetic number, because the mean of its divisors is an integer number (29325131563).

Almost surely, 2^{1830112554240} is an apocalyptic number.

1830112554240 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 1830112554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167114208804).

1830112554240 is an abundant number, since it is smaller than the sum of its proper divisors (4504115863368).

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

1830112554240 is a wasteful number, since it uses less digits than its factorization.

1830112554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55965 (or 55948 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1830112554240 in words is "one trillion, eight hundred thirty billion, one hundred twelve million, five hundred fifty-four thousand, two hundred forty".