2091258624 has 288 divisors, whose sum is σ = 7153542144. Its totient is φ = 527155200.

The previous prime is 2091258619. The next prime is 2091258629. The reversal of 2091258624 is 4268521902.

It is an interprime number because it is at equal distance from previous prime (2091258619) and next prime (2091258629).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2091258629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1606774 + ... + 1608074.

It is an arithmetic number, because the mean of its divisors is an integer number (24838688).

Almost surely, 2^2091258624 is an apocalyptic number.

2091258624 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 2091258624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3576771072).

2091258624 is an abundant number, since it is smaller than the sum of its proper divisors (5062283520).

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

2091258624 is a wasteful number, since it uses less digits than its factorization.

2091258624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2091258624 is about 45730.2812587021. The cubic root of 2091258624 is about 1278.7998646813.

The spelling of 2091258624 in words is "two billion, ninety-one million, two hundred fifty-eight thousand, six hundred twenty-four".