2461572723600 has 405 divisors, whose sum is σ = 8678058226929. Its totient is φ = 646152249600.

The previous prime is 2461572723587. The next prime is 2461572723607. The reversal of 2461572723600 is 63272751642.

The square root of 2461572723600 is 1568940.

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

2461572723600 is a `hidden beast` number, since 2 + 4 + 6 + 1 + 572 + 72 + 3 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 886166180496 + 1575406543104 = 941364^2 + 1255152^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2461572723607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7436775435 + ... + 7436775765.

Almost surely, 2^{2461572723600} is an apocalyptic number.

2461572723600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2461572723600 is the 1568940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2461572723600

2461572723600 is an abundant number, since it is smaller than the sum of its proper divisors (6216485503329).

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

2461572723600 is an equidigital number, since it uses as much as digits as its factorization.

2461572723600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2461572723600 in words is "two trillion, four hundred sixty-one billion, five hundred seventy-two million, seven hundred twenty-three thousand, six hundred".