2819645472400 has 135 divisors (see below), whose sum is σ = 6843888562459. Its totient is φ = 1116372597760.

The previous prime is 2819645472353. The next prime is 2819645472451. The reversal of 2819645472400 is 42745469182.

The square root of 2819645472400 is 1679180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1434523616656 + 1385121855744 = 1197716^2 + 1176912^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3794946429 + ... + 3794947171.

Almost surely, 2^{2819645472400} is an apocalyptic number.

2819645472400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2819645472400 is the 1679180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2819645472400

2819645472400 is an abundant number, since it is smaller than the sum of its proper divisors (4024243090059).

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

2819645472400 is an frugal number, since it uses more digits than its factorization.

2819645472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 2819645472400 in words is "two trillion, eight hundred nineteen billion, six hundred forty-five million, four hundred seventy-two thousand, four hundred".