1900471680 has 256 divisors, whose sum is σ = 6799320000. Its totient is φ = 501645312.

The previous prime is 1900471673. The next prime is 1900471681. The reversal of 1900471680 is 861740091.

It is a super-2 number, since 2×1900471680² = 7223585212964044800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900471681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1883016 + ... + 1884024.

Almost surely, 2^1900471680 is an apocalyptic number.

1900471680 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 1900471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3399660000).

1900471680 is an abundant number, since it is smaller than the sum of its proper divisors (4898848320).

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

1900471680 is a wasteful number, since it uses less digits than its factorization.

1900471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1900471680 is about 43594.3996403208. The cubic root of 1900471680 is about 1238.6648132693.

The spelling of 1900471680 in words is "one billion, nine hundred million, four hundred seventy-one thousand, six hundred eighty".