2738514000 has 160 divisors (see below), whose sum is σ = 8918357760. Its totient is φ = 722880000.

The previous prime is 2738513989. The next prime is 2738514001. The reversal of 2738514000 is 4158372.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738514001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603741 + ... + 608259.

It is an arithmetic number, because the mean of its divisors is an integer number (55739736).

Almost surely, 2^2738514000 is an apocalyptic number.

2738514000 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 2738514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4459178880).

2738514000 is an abundant number, since it is smaller than the sum of its proper divisors (6179843760).

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

2738514000 is a wasteful number, since it uses less digits than its factorization.

2738514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2738514000 is about 52330.8131027982. The cubic root of 2738514000 is about 1399.0663843424.

The spelling of 2738514000 in words is "two billion, seven hundred thirty-eight million, five hundred fourteen thousand".