2670936490000 has 225 divisors, whose sum is σ = 6601898745057. Its totient is φ = 1046474976000.

The previous prime is 2670936489953. The next prime is 2670936490049. The reversal of 2670936490000 is 946390762.

The square root of 2670936490000 is 1634300.

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 2615685166864 + 55251323136 = 1617308^2 + 235056^2 .

It is a super-2 number, since 2×2670936490000² (a number of 26 digits) contains 22 as substring.

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, 9642369862 + ... + 9642370138.

Almost surely, 2^{2670936490000} is an apocalyptic number.

2670936490000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2670936490000 is the 1634300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2670936490000

2670936490000 is an abundant number, since it is smaller than the sum of its proper divisors (3930962255057).

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

2670936490000 is an frugal number, since it uses more digits than its factorization.

2670936490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 46.

The spelling of 2670936490000 in words is "two trillion, six hundred seventy billion, nine hundred thirty-six million, four hundred ninety thousand".