2083461296400 has 765 divisors, whose sum is σ = 8252895762853. Its totient is φ = 505081526400.

The previous prime is 2083461296363. The next prime is 2083461296401. The reversal of 2083461296400 is 46921643802.

The square root of 2083461296400 is 1443420.

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

2083461296400 is a `hidden beast` number, since 2 + 0 + 83 + 46 + 129 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 750046066704 + 1333415229696 = 866052^2 + 1154736^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2083461296401) by changing a digit.

It is a polite number, since it can be written in 152 ways as a sum of consecutive naturals, for example, 189405572395 + ... + 189405572405.

Almost surely, 2^{2083461296400} is an apocalyptic number.

2083461296400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2083461296400 is the 1443420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2083461296400

2083461296400 is an abundant number, since it is smaller than the sum of its proper divisors (6169434466453).

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

2083461296400 is an frugal number, since it uses more digits than its factorization.

2083461296400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2083461296400 in words is "two trillion, eighty-three billion, four hundred sixty-one million, two hundred ninety-six thousand, four hundred".