2906753680 has 20 divisors (see below), whose sum is σ = 6758202492. Its totient is φ = 1162701440.

The previous prime is 2906753669. The next prime is 2906753699. The reversal of 2906753680 is 863576092.

It can be written as a sum of positive squares in 2 ways, for example, as 356907664 + 2549846016 = 18892^2 + 50496^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2906753680.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18167131 + ... + 18167290.

Almost surely, 2^2906753680 is an apocalyptic number.

2906753680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2906753680 is an abundant number, since it is smaller than the sum of its proper divisors (3851448812).

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

2906753680 is a wasteful number, since it uses less digits than its factorization.

2906753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36334434 (or 36334428 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The square root of 2906753680 is about 53914.3179498730. The cubic root of 2906753680 is about 1427.1493048790.

The spelling of 2906753680 in words is "two billion, nine hundred six million, seven hundred fifty-three thousand, six hundred eighty".