1934861040 has 480 divisors, whose sum is σ = 7872621120. Its totient is φ = 435456000.

The previous prime is 1934861011. The next prime is 1934861081. The reversal of 1934861040 is 401684391.

1934861040 is a `hidden beast` number, since 1 + 9 + 34 + 8 + 610 + 4 + 0 = 666.

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 = 1934860986 and 1934861004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10689750 + ... + 10689930.

It is an arithmetic number, because the mean of its divisors is an integer number (16401294).

Almost surely, 2^1934861040 is an apocalyptic number.

1934861040 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 1934861040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936310560).

1934861040 is an abundant number, since it is smaller than the sum of its proper divisors (5937760080).

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

1934861040 is a wasteful number, since it uses less digits than its factorization.

1934861040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1934861040 is about 43987.0553685968. The cubic root of 1934861040 is about 1246.0914800486.

The spelling of 1934861040 in words is "one billion, nine hundred thirty-four million, eight hundred sixty-one thousand, forty".