2670200640000 has 1200 divisors, whose sum is σ = 10427732707392. Its totient is φ = 680638464000.

The previous prime is 2670200639987. The next prime is 2670200640001. The reversal of 2670200640000 is 460020762.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2670200640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1788479254 + ... + 1788480746.

Almost surely, 2^{2670200640000} is an apocalyptic number.

2670200640000 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 2670200640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213866353696).

2670200640000 is an abundant number, since it is smaller than the sum of its proper divisors (7757532067392).

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

2670200640000 is an frugal number, since it uses more digits than its factorization.

2670200640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 2670200640000 its reverse (460020762), we get a palindrome (2670660660762).

The spelling of 2670200640000 in words is "two trillion, six hundred seventy billion, two hundred million, six hundred forty thousand".