1945633340 has 96 divisors (see below), whose sum is σ = 4972907520. Its totient is φ = 624190464.

The previous prime is 1945633337. The next prime is 1945633343. The reversal of 1945633340 is 433365491.

It is an interprime number because it is at equal distance from previous prime (1945633337) and next prime (1945633343).

It is a junction number, because it is equal to n+sod(n) for n = 1945633294 and 1945633303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945633343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423737 + ... + 428303.

It is an arithmetic number, because the mean of its divisors is an integer number (51801120).

Almost surely, 2^1945633340 is an apocalyptic number.

1945633340 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 1945633340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486453760).

1945633340 is an abundant number, since it is smaller than the sum of its proper divisors (3027274180).

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

1945633340 is a wasteful number, since it uses less digits than its factorization.

1945633340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4779 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The square root of 1945633340 is about 44109.3339328537. Note that the first 3 decimals coincide. The cubic root of 1945633340 is about 1248.3997313865.

The spelling of 1945633340 in words is "one billion, nine hundred forty-five million, six hundred thirty-three thousand, three hundred forty".