2769714000 has 480 divisors, whose sum is σ = 10350587520. Its totient is φ = 715392000.

The previous prime is 2769713987. The next prime is 2769714007. The reversal of 2769714000 is 4179672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2769714007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19925931 + ... + 19926069.

It is an arithmetic number, because the mean of its divisors is an integer number (21563724).

Almost surely, 2^2769714000 is an apocalyptic number.

2769714000 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 2769714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175293760).

2769714000 is an abundant number, since it is smaller than the sum of its proper divisors (7580873520).

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

2769714000 is a wasteful number, since it uses less digits than its factorization.

2769714000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2769714000 is about 52628.0723568705. The cubic root of 2769714000 is about 1404.3595397415.

The spelling of 2769714000 in words is "two billion, seven hundred sixty-nine million, seven hundred fourteen thousand".