2086761600 has 576 divisors, whose sum is σ = 9293244480. Its totient is φ = 433152000.

The previous prime is 2086761587. The next prime is 2086761617. The reversal of 2086761600 is 61676802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

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 71 ways as a sum of consecutive naturals, for example, 2217130 + ... + 2218070.

It is an arithmetic number, because the mean of its divisors is an integer number (16134105).

Almost surely, 2^2086761600 is an apocalyptic number.

2086761600 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 2086761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4646622240).

2086761600 is an abundant number, since it is smaller than the sum of its proper divisors (7206482880).

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

2086761600 is a wasteful number, since it uses less digits than its factorization.

2086761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2086761600 is about 45681.0858014562. The cubic root of 2086761600 is about 1277.8825668875.

It can be divided in two parts, 208676 and 1600, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 2086761600 in words is "two billion, eighty-six million, seven hundred sixty-one thousand, six hundred".