2107464471900 has 432 divisors, whose sum is σ = 7187447973888. Its totient is φ = 534934368000.

The previous prime is 2107464471883. The next prime is 2107464471913. The reversal of 2107464471900 is 91744647012.

2107464471900 is a `hidden beast` number, since 2 + 10 + 7 + 4 + 6 + 447 + 190 + 0 = 666.

It is a super-2 number, since 2×2107464471900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45928369 + ... + 45974231.

Almost surely, 2^{2107464471900} is an apocalyptic number.

2107464471900 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 2107464471900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593723986944).

2107464471900 is an abundant number, since it is smaller than the sum of its proper divisors (5079983501988).

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

2107464471900 is a wasteful number, since it uses less digits than its factorization.

2107464471900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45984 (or 45965 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2107464471900 in words is "two trillion, one hundred seven billion, four hundred sixty-four million, four hundred seventy-one thousand, nine hundred".