2640103200000 has 1728 divisors, whose sum is σ = 11752247808000. Its totient is φ = 571069440000.

The previous prime is 2640103199989. The next prime is 2640103200037. The reversal of 2640103200000 is 23010462.

It is a happy number.

2640103200000 is a `hidden beast` number, since 2 + 640 + 1 + 0 + 3 + 20 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2872799541 + ... + 2872800459.

Almost surely, 2^{2640103200000} is an apocalyptic number.

2640103200000 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 2640103200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5876123904000).

2640103200000 is an abundant number, since it is smaller than the sum of its proper divisors (9112144608000).

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

2640103200000 is an frugal number, since it uses more digits than its factorization.

2640103200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2640103200000 its reverse (23010462), we get a palindrome (2640126210462).

The spelling of 2640103200000 in words is "two trillion, six hundred forty billion, one hundred three million, two hundred thousand".