2080748550400 has 729 divisors, whose sum is σ = 5967516478329. Its totient is φ = 717870366720.

The previous prime is 2080748550373. The next prime is 2080748550409. The reversal of 2080748550400 is 40558470802.

It is a happy number.

The square root of 2080748550400 is 1442480.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1873920063744 + 206828486656 = 1368912^2 + 454784^2 .

It is not an unprimeable number, because it can be changed into a prime (2080748550409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 28503404764 + ... + 28503404836.

Almost surely, 2^{2080748550400} is an apocalyptic number.

2080748550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2080748550400 is the 1442480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2080748550400

2080748550400 is an abundant number, since it is smaller than the sum of its proper divisors (3886767927929).

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

2080748550400 is an equidigital number, since it uses as much as digits as its factorization.

2080748550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 43.

The spelling of 2080748550400 in words is "two trillion, eighty billion, seven hundred forty-eight million, five hundred fifty thousand, four hundred".