2091415824 has 135 divisors (see below), whose sum is σ = 6074495973. Its totient is φ = 671711616.

The previous prime is 2091415801. The next prime is 2091415853. The reversal of 2091415824 is 4285141902.

The square root of 2091415824 is 45732.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1871427600 + 219988224 = 43260^2 + 14832^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20304957 + ... + 20305059.

Almost surely, 2^2091415824 is an apocalyptic number.

2091415824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2091415824 is the 45732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2091415824

2091415824 is an abundant number, since it is smaller than the sum of its proper divisors (3983080149).

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

2091415824 is a wasteful number, since it uses less digits than its factorization.

2091415824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The cubic root of 2091415824 is about 1278.8319063586.

Multiplying 2091415824 by its sum of digits (36), we get a square (75290969664 = 274392²).

2091415824 divided by its sum of digits (36) gives a square (58094884 = 7622²).

The spelling of 2091415824 in words is "two billion, ninety-one million, four hundred fifteen thousand, eight hundred twenty-four".