1934102016 has 640 divisors, whose sum is σ = 7542374400. Its totient is φ = 474439680.

The previous prime is 1934101973. The next prime is 1934102063. The reversal of 1934102016 is 6102014391.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24482265 + ... + 24482343.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 2^1934102016 is an apocalyptic number.

1934102016 is a gapful number since it is divisible by the number (16) 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 1934102016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771187200).

1934102016 is an abundant number, since it is smaller than the sum of its proper divisors (5608272384).

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

1934102016 is a wasteful number, since it uses less digits than its factorization.

1934102016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1934102016 is about 43978.4267112865. The cubic root of 1934102016 is about 1245.9285162277.

The spelling of 1934102016 in words is "one billion, nine hundred thirty-four million, one hundred two thousand, sixteen".