1930199040 has 768 divisors, whose sum is σ = 8833069440. Its totient is φ = 377487360.

The previous prime is 1930198993. The next prime is 1930199087. The reversal of 1930199040 is 409910391.

It is an interprime number because it is at equal distance from previous prime (1930198993) and next prime (1930199087).

It is a tau number, because it is divible by the number of its divisors (768).

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 = 1930198986 and 1930199004.

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, 113541112 + ... + 113541128.

Almost surely, 2^1930199040 is an apocalyptic number.

1930199040 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 1930199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416534720).

1930199040 is an abundant number, since it is smaller than the sum of its proper divisors (6902870400).

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

1930199040 is a wasteful number, since it uses less digits than its factorization.

1930199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1930199040 is about 43934.0305458081. The cubic root of 1930199040 is about 1245.0898662571.

It can be divided in two parts, 19301 and 99040, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 1930199040 in words is "one billion, nine hundred thirty million, one hundred ninety-nine thousand, forty".