2764146000 has 640 divisors, whose sum is σ = 11528404992. Its totient is φ = 552960000.

The previous prime is 2764145987. The next prime is 2764146097. The reversal of 2764146000 is 6414672.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14321904 + ... + 14322096.

Almost surely, 2^2764146000 is an apocalyptic number.

2764146000 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 2764146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5764202496).

2764146000 is an abundant number, since it is smaller than the sum of its proper divisors (8764258992).

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

2764146000 is a wasteful number, since it uses less digits than its factorization.

2764146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2764146000 is about 52575.1462194828. The cubic root of 2764146000 is about 1403.4178396661.

The spelling of 2764146000 in words is "two billion, seven hundred sixty-four million, one hundred forty-six thousand".