2667342240000 has 405 divisors, whose sum is σ = 9617246627989. Its totient is φ = 710768640000.

The previous prime is 2667342239993. The next prime is 2667342240037. The reversal of 2667342240000 is 422437662.

The square root of 2667342240000 is 1633200.

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

It can be written as a sum of positive squares in 7 ways, for example, as 2614611384576 + 52730855424 = 1616976^2 + 229632^2 .

It is a super-2 number, since 2×2667342240000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1959839320 + ... + 1959840680.

Almost surely, 2^{2667342240000} is an apocalyptic number.

2667342240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2667342240000 is the 1633200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2667342240000

2667342240000 is an abundant number, since it is smaller than the sum of its proper divisors (6949904387989).

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

2667342240000 is an frugal number, since it uses more digits than its factorization.

2667342240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 2667342240000 by its sum of digits (36), we get a square (96024320640000 = 9799200²).

2667342240000 divided by its sum of digits (36) gives a square (74092840000 = 272200²).

Adding to 2667342240000 its reverse (422437662), we get a palindrome (2667764677662).

The spelling of 2667342240000 in words is "two trillion, six hundred sixty-seven billion, three hundred forty-two million, two hundred forty thousand".