1972805760 has 128 divisors (see below), whose sum is σ = 6987081600. Its totient is φ = 526076928.

The previous prime is 1972805717. The next prime is 1972805761. The reversal of 1972805760 is 675082791.

1972805760 is a `hidden beast` number, since 1 + 9 + 72 + 8 + 0 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (1972805761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39804 + ... + 74363.

It is an arithmetic number, because the mean of its divisors is an integer number (54586575).

Almost surely, 2^1972805760 is an apocalyptic number.

1972805760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972805760 is an abundant number, since it is smaller than the sum of its proper divisors (5014275840).

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

1972805760 is a wasteful number, since it uses less digits than its factorization.

1972805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114195 (or 114177 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 1972805760 is about 44416.2780971121. The cubic root of 1972805760 is about 1254.1845382138.

The spelling of 1972805760 in words is "one billion, nine hundred seventy-two million, eight hundred five thousand, seven hundred sixty".