2973451680 has 120 divisors (see below), whose sum is σ = 10493852292. Its totient is φ = 792916992.

The previous prime is 2973451639. The next prime is 2973451681. The reversal of 2973451680 is 861543792.

2973451680 is a `hidden beast` number, since 29 + 7 + 34 + 516 + 80 = 666.

2973451680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2758770576 + 214681104 = 52524^2 + 14652^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

2973451680 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2973451681) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101757 + ... + 127676.

It is a 1-persistent number, because it is pandigital, but 2⋅2973451680 = 5946903360 is not.

Almost surely, 2^2973451680 is an apocalyptic number.

2973451680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2973451680 is an abundant number, since it is smaller than the sum of its proper divisors (7520400612).

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

2973451680 is a wasteful number, since it uses less digits than its factorization.

2973451680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229460 (or 229443 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2973451680 is about 54529.3652998089. The cubic root of 2973451680 is about 1437.9825916418.

The spelling of 2973451680 in words is "two billion, nine hundred seventy-three million, four hundred fifty-one thousand, six hundred eighty".