1955681280 has 704 divisors, whose sum is σ = 8300666880. Its totient is φ = 427327488.

The previous prime is 1955681269. The next prime is 1955681303. The reversal of 1955681280 is 821865591.

It is a happy number.

1955681280 is a `hidden beast` number, since 1 + 9 + 5 + 568 + 1 + 2 + 80 = 666.

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

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, 41610217 + ... + 41610263.

It is an arithmetic number, because the mean of its divisors is an integer number (11790720).

Almost surely, 2^1955681280 is an apocalyptic number.

1955681280 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 1955681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150333440).

1955681280 is an abundant number, since it is smaller than the sum of its proper divisors (6344985600).

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

1955681280 is a wasteful number, since it uses less digits than its factorization.

1955681280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1955681280 is about 44223.0853740442. The cubic root of 1955681280 is about 1250.5451019898.

The spelling of 1955681280 in words is "one billion, nine hundred fifty-five million, six hundred eighty-one thousand, two hundred eighty".