2676849120 has 432 divisors, whose sum is σ = 10430849520. Its totient is φ = 647792640.

The previous prime is 2676849113. The next prime is 2676849127. The reversal of 2676849120 is 219486762.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2676849113) and next prime (2676849127).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×2676849120² = 14331042422489548800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2676849127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4704196 + ... + 4704764.

It is an arithmetic number, because the mean of its divisors is an integer number (24145485).

Almost surely, 2^2676849120 is an apocalyptic number.

2676849120 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 2676849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215424760).

2676849120 is an abundant number, since it is smaller than the sum of its proper divisors (7754000400).

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

2676849120 is a wasteful number, since it uses less digits than its factorization.

2676849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2676849120 is about 51738.2751935161. The cubic root of 2676849120 is about 1388.4853366181.

The spelling of 2676849120 in words is "two billion, six hundred seventy-six million, eight hundred forty-nine thousand, one hundred twenty".