2649386880 has 640 divisors, whose sum is σ = 11107800000. Its totient is φ = 601509888.

The previous prime is 2649386827. The next prime is 2649386881. The reversal of 2649386880 is 886839462.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2649386880² = 14038501679832268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649386881) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 17781046 + ... + 17781194.

Almost surely, 2^2649386880 is an apocalyptic number.

2649386880 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 2649386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553900000).

2649386880 is an abundant number, since it is smaller than the sum of its proper divisors (8458413120).

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

2649386880 is an equidigital number, since it uses as much as digits as its factorization.

2649386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2649386880 is about 51472.1952125611. The cubic root of 2649386880 is about 1383.7207718505.

The spelling of 2649386880 in words is "two billion, six hundred forty-nine million, three hundred eighty-six thousand, eight hundred eighty".