2103948000 has 1152 divisors, whose sum is σ = 10038712320. Its totient is φ = 418176000.

The previous prime is 2103947971. The next prime is 2103948031. The reversal of 2103948000 is 8493012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 91475989 + ... + 91476011.

It is an arithmetic number, because the mean of its divisors is an integer number (8714160).

Almost surely, 2^2103948000 is an apocalyptic number.

2103948000 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 2103948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019356160).

2103948000 is an abundant number, since it is smaller than the sum of its proper divisors (7934764320).

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

2103948000 is a wasteful number, since it uses less digits than its factorization.

2103948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2103948000 is about 45868.8129342803. The cubic root of 2103948000 is about 1281.3811588911.

The spelling of 2103948000 in words is "two billion, one hundred three million, nine hundred forty-eight thousand".