2106950400 has 432 divisors, whose sum is σ = 7869808800. Its totient is φ = 551485440.

The previous prime is 2106950399. The next prime is 2106950473. The reversal of 2106950400 is 40596012.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15379132 + ... + 15379268.

It is an arithmetic number, because the mean of its divisors is an integer number (18217150).

Almost surely, 2^2106950400 is an apocalyptic number.

2106950400 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 2106950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934904400).

2106950400 is an abundant number, since it is smaller than the sum of its proper divisors (5762858400).

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

2106950400 is a wasteful number, since it uses less digits than its factorization.

2106950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2106950400 is about 45901.5293862852. The cubic root of 2106950400 is about 1281.9903929291.

The spelling of 2106950400 in words is "two billion, one hundred six million, nine hundred fifty thousand, four hundred".