2097946980000 has 600 divisors, whose sum is σ = 7781425912260. Its totient is φ = 554319936000.

The previous prime is 2097946979969. The next prime is 2097946980007. The reversal of 2097946980000 is 896497902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 278264690064 + 1819682289936 = 527508^2 + 1348956^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×2097946980000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 16350 × 9810 × 13080.

It is not an unprimeable number, because it can be changed into a prime (2097946980007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 19247219946 + ... + 19247220054.

Almost surely, 2^{2097946980000} is an apocalyptic number.

2097946980000 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 2097946980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890712956130).

2097946980000 is an abundant number, since it is smaller than the sum of its proper divisors (5683478932260).

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

2097946980000 is an frugal number, since it uses more digits than its factorization.

2097946980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 2097946980000 in words is "two trillion, ninety-seven billion, nine hundred forty-six million, nine hundred eighty thousand".