2060315744400 has 405 divisors, whose sum is σ = 7319609809291. Its totient is φ = 536671357440.

The previous prime is 2060315744371. The next prime is 2060315744411. The reversal of 2060315744400 is 44475130602.

The square root of 2060315744400 is 1435380.

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

2060315744400 is a `hidden beast` number, since 2 + 0 + 60 + 3 + 157 + 4 + 440 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78572574864 + 1981743169536 = 280308^2 + 1407744^2 .

It is a super-2 number, since 2×2060315744400² (a number of 25 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 80 ways as a sum of consecutive naturals, for example, 4047771346 + ... + 4047771854.

Almost surely, 2^{2060315744400} is an apocalyptic number.

2060315744400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2060315744400 is the 1435380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2060315744400

2060315744400 is an abundant number, since it is smaller than the sum of its proper divisors (5259294064891).

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

2060315744400 is an equidigital number, since it uses as much as digits as its factorization.

2060315744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 2060315744400 by its sum of digits (36), we get a square (74171366798400 = 8612280²).

2060315744400 divided by its sum of digits (36) gives a square (57230992900 = 239230²).

The spelling of 2060315744400 in words is "two trillion, sixty billion, three hundred fifteen million, seven hundred forty-four thousand, four hundred".