1889135040 has 448 divisors, whose sum is σ = 7046000640. Its totient is φ = 424673280.

The previous prime is 1889134997. The next prime is 1889135041. The reversal of 1889135040 is 405319881.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1889135040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1889135041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7350592 + ... + 7350848.

It is an arithmetic number, because the mean of its divisors is an integer number (15727680).

Almost surely, 2^1889135040 is an apocalyptic number.

1889135040 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 1889135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523000320).

1889135040 is an abundant number, since it is smaller than the sum of its proper divisors (5156865600).

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

1889135040 is a wasteful number, since it uses less digits than its factorization.

1889135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1889135040 is about 43464.1811150285. The cubic root of 1889135040 is about 1236.1969502138.

The spelling of 1889135040 in words is "one billion, eight hundred eighty-nine million, one hundred thirty-five thousand, forty".