2652323097600 has 1980 divisors, whose sum is σ = 11162339620344. Its totient is φ = 622245888000.

The previous prime is 2652323097583. The next prime is 2652323097601. The reversal of 2652323097600 is 67903232562.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2652323097600 is a `hidden beast` number, since 2 + 6 + 5 + 2 + 3 + 2 + 30 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1980).

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

It is not an unprimeable number, because it can be changed into a prime (2652323097601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 85558809585 + ... + 85558809615.

Almost surely, 2^{2652323097600} is an apocalyptic number.

2652323097600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2652323097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581169810172).

2652323097600 is an abundant number, since it is smaller than the sum of its proper divisors (8510016522744).

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

2652323097600 is an equidigital number, since it uses as much as digits as its factorization.

2652323097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 2652323097600 in words is "two trillion, six hundred fifty-two billion, three hundred twenty-three million, ninety-seven thousand, six hundred".