1881158400 has 324 divisors, whose sum is σ = 7339452120. Its totient is φ = 455884800.

The previous prime is 1881158393. The next prime is 1881158407. The reversal of 1881158400 is 48511881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1881158393) and next prime (1881158407).

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

It is not an unprimeable number, because it can be changed into a prime (1881158407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 632116 + ... + 635084.

It is an arithmetic number, because the mean of its divisors is an integer number (22652630).

Almost surely, 2^1881158400 is an apocalyptic number.

1881158400 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 1881158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669726060).

1881158400 is an abundant number, since it is smaller than the sum of its proper divisors (5458293720).

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

1881158400 is a wasteful number, since it uses less digits than its factorization.

1881158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1881158400 is about 43372.3229721443. The cubic root of 1881158400 is about 1234.4545991718.

The spelling of 1881158400 in words is "one billion, eight hundred eighty-one million, one hundred fifty-eight thousand, four hundred".