2666924520 has 256 divisors, whose sum is σ = 9057484800. Its totient is φ = 623293440.

The previous prime is 2666924503. The next prime is 2666924537. The reversal of 2666924520 is 254296662.

It is an interprime number because it is at equal distance from previous prime (2666924503) and next prime (2666924537).

It is a super-2 number, since 2×2666924520² = 14224972790754460800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 8575165 + ... + 8575475.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^2666924520 is an apocalyptic number.

2666924520 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 2666924520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2666924520 is an abundant number, since it is smaller than the sum of its proper divisors (6390560280).

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

2666924520 is a wasteful number, since it uses less digits than its factorization.

2666924520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2666924520 is about 51642.2745432461. The cubic root of 2666924520 is about 1386.7672436397.

The spelling of 2666924520 in words is "two billion, six hundred sixty-six million, nine hundred twenty-four thousand, five hundred twenty".