2663097610000 has 75 divisors (see below), whose sum is σ = 6448020747091. Its totient is φ = 1065173768000.

The previous prime is 2663097609983. The next prime is 2663097610003. The reversal of 2663097610000 is 167903662.

The square root of 2663097610000 is 1631900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 208786852624 + 2454310757376 = 456932^2 + 1566624^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2663097610003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 163181841 + ... + 163198159.

Almost surely, 2^{2663097610000} is an apocalyptic number.

2663097610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2663097610000 is the 1631900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2663097610000

2663097610000 is an abundant number, since it is smaller than the sum of its proper divisors (3784923137091).

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

2663097610000 is an frugal number, since it uses more digits than its factorization.

2663097610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32666 (or 16326 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 2663097610000 in words is "two trillion, six hundred sixty-three billion, ninety-seven million, six hundred ten thousand".