2699005680 has 480 divisors, whose sum is σ = 11107324800. Its totient is φ = 575299584.

The previous prime is 2699005667. The next prime is 2699005693. The reversal of 2699005680 is 865009962.

It is an interprime number because it is at equal distance from previous prime (2699005667) and next prime (2699005693).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24761466 + ... + 24761574.

It is an arithmetic number, because the mean of its divisors is an integer number (23140260).

Almost surely, 2^2699005680 is an apocalyptic number.

2699005680 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 2699005680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553662400).

2699005680 is an abundant number, since it is smaller than the sum of its proper divisors (8408319120).

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

2699005680 is a wasteful number, since it uses less digits than its factorization.

2699005680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2699005680 is about 51951.9554973631. The cubic root of 2699005680 is about 1392.3056948516.

The spelling of 2699005680 in words is "two billion, six hundred ninety-nine million, five thousand, six hundred eighty".