2048177450200 has 144 divisors (see below), whose sum is σ = 5540382558000. Its totient is φ = 702118368000.

The previous prime is 2048177450197. The next prime is 2048177450237. The reversal of 2048177450200 is 20547718402.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79376901 + ... + 79402699.

It is an arithmetic number, because the mean of its divisors is an integer number (38474878875).

Almost surely, 2^{2048177450200} is an apocalyptic number.

2048177450200 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 2048177450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770191279000).

2048177450200 is an abundant number, since it is smaller than the sum of its proper divisors (3492205107800).

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

2048177450200 is a wasteful number, since it uses less digits than its factorization.

2048177450200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33930 (or 33914 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 2048177450200 in words is "two trillion, forty-eight billion, one hundred seventy-seven million, four hundred fifty thousand, two hundred".