2048550134400 has 4320 divisors, whose sum is σ = 10209780282240. Its totient is φ = 402361344000.

The previous prime is 2048550134387. The next prime is 2048550134401. The reversal of 2048550134400 is 44310558402.

It is a happy number.

2048550134400 is a `hidden beast` number, since 2 + 0 + 4 + 85 + 501 + 34 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2048550134401) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 47640700779 + ... + 47640700821.

Almost surely, 2^{2048550134400} is an apocalyptic number.

2048550134400 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 2048550134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104890141120).

2048550134400 is an abundant number, since it is smaller than the sum of its proper divisors (8161230147840).

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

2048550134400 is a wasteful number, since it uses less digits than its factorization.

2048550134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 2048550134400 in words is "two trillion, forty-eight billion, five hundred fifty million, one hundred thirty-four thousand, four hundred".