2738514240 has 672 divisors, whose sum is σ = 12016532736. Its totient is φ = 555909120.

The previous prime is 2738514227. The next prime is 2738514269. The reversal of 2738514240 is 424158372.

It is a happy number.

2738514240 is a `hidden beast` number, since 27 + 385 + 14 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 2738514195 and 2738514204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11753164 + ... + 11753396.

Almost surely, 2^2738514240 is an apocalyptic number.

2738514240 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 2738514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008266368).

2738514240 is an abundant number, since it is smaller than the sum of its proper divisors (9278018496).

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

2738514240 is a wasteful number, since it uses less digits than its factorization.

2738514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2738514240 is about 52330.8153959023. The cubic root of 2738514240 is about 1399.0664252132.

The spelling of 2738514240 in words is "two billion, seven hundred thirty-eight million, five hundred fourteen thousand, two hundred forty".