2048751900 has 144 divisors (see below), whose sum is σ = 7093122400. Its totient is φ = 504299520.

The previous prime is 2048751877. The next prime is 2048751911. The reversal of 2048751900 is 91578402.

It is a super-2 number, since 2×2048751900² = 8394768695507220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5916 + ... + 64284.

Almost surely, 2^2048751900 is an apocalyptic number.

2048751900 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 2048751900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546561200).

2048751900 is an abundant number, since it is smaller than the sum of its proper divisors (5044370500).

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

2048751900 is a wasteful number, since it uses less digits than its factorization.

2048751900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58405 (or 58392 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2048751900 is about 45263.1406334116. The cubic root of 2048751900 is about 1270.0762349095.

The spelling of 2048751900 in words is "two billion, forty-eight million, seven hundred fifty-one thousand, nine hundred".