2664860353600 has 189 divisors, whose sum is σ = 6745349465967. Its totient is φ = 1036194554880.

The previous prime is 2664860353553. The next prime is 2664860353601. The reversal of 2664860353600 is 63530684662.

The square root of 2664860353600 is 1632440.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 252976809024 + 2411883544576 = 502968^2 + 1553024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2664860353601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2416010649 + ... + 2416011751.

Almost surely, 2^{2664860353600} is an apocalyptic number.

2664860353600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2664860353600 is the 1632440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2664860353600

2664860353600 is an abundant number, since it is smaller than the sum of its proper divisors (4080489112367).

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

2664860353600 is an frugal number, since it uses more digits than its factorization.

2664860353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

Multiplying 2664860353600 by its sum of digits (49), we get a square (130578157326400 = 11427080²).

The spelling of 2664860353600 in words is "two trillion, six hundred sixty-four billion, eight hundred sixty million, three hundred fifty-three thousand, six hundred".