2649379000 has 192 divisors, whose sum is σ = 6740042400. Its totient is φ = 974016000.

The previous prime is 2649378973. The next prime is 2649379001. The reversal of 2649379000 is 9739462.

2649379000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649379001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14800911 + ... + 14801089.

Almost surely, 2^2649379000 is an apocalyptic number.

2649379000 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 2649379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370021200).

2649379000 is an abundant number, since it is smaller than the sum of its proper divisors (4090663400).

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

2649379000 is a wasteful number, since it uses less digits than its factorization.

2649379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The square root of 2649379000 is about 51472.1186663226. The cubic root of 2649379000 is about 1383.7193999947.

The spelling of 2649379000 in words is "two billion, six hundred forty-nine million, three hundred seventy-nine thousand".