2050552301200 has 240 divisors, whose sum is σ = 5621214125520. Its totient is φ = 712118108160.

The previous prime is 2050552301179. The next prime is 2050552301257. The reversal of 2050552301200 is 21032550502.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 553345552384 + 1497206748816 = 743872^2 + 1223604^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150007966 + ... + 150021634.

It is an arithmetic number, because the mean of its divisors is an integer number (23421725523).

Almost surely, 2^{2050552301200} is an apocalyptic number.

2050552301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2050552301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810607062760).

2050552301200 is an abundant number, since it is smaller than the sum of its proper divisors (3570661824320).

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

2050552301200 is a wasteful number, since it uses less digits than its factorization.

2050552301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15414 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 2050552301200 its reverse (21032550502), we get a palindrome (2071584851702).

The spelling of 2050552301200 in words is "two trillion, fifty billion, five hundred fifty-two million, three hundred one thousand, two hundred".