2754406000 has 80 divisors (see below), whose sum is σ = 6711632928. Its totient is φ = 1093248000.

The previous prime is 2754405991. The next prime is 2754406007. The reversal of 2754406000 is 6044572.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2754406000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754406007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256744 + ... + 267256.

Almost surely, 2^2754406000 is an apocalyptic number.

2754406000 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 2754406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355816464).

2754406000 is an abundant number, since it is smaller than the sum of its proper divisors (3957226928).

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

2754406000 is a wasteful number, since it uses less digits than its factorization.

2754406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10651 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2754406000 is about 52482.4351569170. The cubic root of 2754406000 is about 1401.7674954947.

The spelling of 2754406000 in words is "two billion, seven hundred fifty-four million, four hundred six thousand".