2964788300960 has 48 divisors (see below), whose sum is σ = 7004460114792. Its totient is φ = 1185890304000.

The previous prime is 2964788300941. The next prime is 2964788300963. The reversal of 2964788300960 is 690038874692.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1178727118864 + 1786061182096 = 1085692^2 + 1336436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2964788300893 and 2964788300902.

It is not an unprimeable number, because it can be changed into a prime (2964788300963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8664320 + ... + 9000000.

Almost surely, 2^{2964788300960} is an apocalyptic number.

2964788300960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2964788300960 is an abundant number, since it is smaller than the sum of its proper divisors (4039671813832).

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

2964788300960 is a wasteful number, since it uses less digits than its factorization.

2964788300960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390897 (or 390889 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 62.

The spelling of 2964788300960 in words is "two trillion, nine hundred sixty-four billion, seven hundred eighty-eight million, three hundred thousand, nine hundred sixty".