2245646880 has 72 divisors (see below), whose sum is σ = 7663274892. Its totient is φ = 598838784.

The previous prime is 2245646869. The next prime is 2245646927. The reversal of 2245646880 is 886465422.

2245646880 is a `hidden beast` number, since 2 + 2 + 4 + 564 + 6 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2245622544 + 24336 = 47388^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778299 + ... + 781178.

Almost surely, 2^2245646880 is an apocalyptic number.

2245646880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245646880 is an abundant number, since it is smaller than the sum of its proper divisors (5417628012).

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

2245646880 is a wasteful number, since it uses less digits than its factorization.

2245646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559498 (or 1559487 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2245646880 is about 47388.2567731711. The cubic root of 2245646880 is about 1309.5250847303.

The spelling of 2245646880 in words is "two billion, two hundred forty-five million, six hundred forty-six thousand, eight hundred eighty".