1972278064224 has 120 divisors (see below), whose sum is σ = 6246600877440. Its totient is φ = 606854778624.

The previous prime is 1972278064193. The next prime is 1972278064247. The reversal of 1972278064224 is 4224608722791.

1972278064224 is a `hidden beast` number, since 1 + 97 + 2 + 278 + 0 + 64 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29232064 + ... + 29299455.

It is an arithmetic number, because the mean of its divisors is an integer number (52055007312).

Almost surely, 2^{1972278064224} is an apocalyptic number.

It is an amenable number.

1972278064224 is an abundant number, since it is smaller than the sum of its proper divisors (4274322813216).

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

1972278064224 is a wasteful number, since it uses less digits than its factorization.

1972278064224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58531554 (or 58531537 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1972278064224 in words is "one trillion, nine hundred seventy-two billion, two hundred seventy-eight million, sixty-four thousand, two hundred twenty-four".