2091860064 has 288 divisors, whose sum is σ = 7313918976. Its totient is φ = 553512960.

The previous prime is 2091860059. The next prime is 2091860101. The reversal of 2091860064 is 4600681902.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2295769 + ... + 2296679.

It is an arithmetic number, because the mean of its divisors is an integer number (25395552).

Almost surely, 2^2091860064 is an apocalyptic number.

2091860064 is a gapful number since it is divisible by the number (24) 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 2091860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656959488).

2091860064 is an abundant number, since it is smaller than the sum of its proper divisors (5222058912).

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

2091860064 is a wasteful number, since it uses less digits than its factorization.

2091860064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2091860064 is about 45736.8567350228. The cubic root of 2091860064 is about 1278.9224459921.

The spelling of 2091860064 in words is "two billion, ninety-one million, eight hundred sixty thousand, sixty-four".