2101475040 has 384 divisors, whose sum is σ = 8026324992. Its totient is φ = 451799040.

The previous prime is 2101475029. The next prime is 2101475087. The reversal of 2101475040 is 405741012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2101475040.

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 63 ways as a sum of consecutive naturals, for example, 5486689 + ... + 5487071.

It is an arithmetic number, because the mean of its divisors is an integer number (20901888).

Almost surely, 2^2101475040 is an apocalyptic number.

2101475040 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 2101475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013162496).

2101475040 is an abundant number, since it is smaller than the sum of its proper divisors (5924849952).

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

2101475040 is a wasteful number, since it uses less digits than its factorization.

2101475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2101475040 is about 45841.8481302838. The cubic root of 2101475040 is about 1280.8789210840.

The spelling of 2101475040 in words is "two billion, one hundred one million, four hundred seventy-five thousand, forty".