1945903680 has 252 divisors, whose sum is σ = 7786413180. Its totient is φ = 444745728.

The previous prime is 1945903651. The next prime is 1945903681. The reversal of 1945903680 is 863095491.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1416167424 + 529736256 = 37632^2 + 23016^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×1945903680² = 7573082263675084800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1945903681) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134226 + ... + 148014.

It is an arithmetic number, because the mean of its divisors is an integer number (30898465).

Almost surely, 2^1945903680 is an apocalyptic number.

1945903680 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 1945903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893206590).

1945903680 is an abundant number, since it is smaller than the sum of its proper divisors (5840509500).

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

1945903680 is a wasteful number, since it uses less digits than its factorization.

1945903680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13826 (or 13806 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1945903680 is about 44112.3982571794. The cubic root of 1945903680 is about 1248.4575491926.

The spelling of 1945903680 in words is "one billion, nine hundred forty-five million, nine hundred three thousand, six hundred eighty".