2738958480 has 240 divisors, whose sum is σ = 9422075520. Its totient is φ = 712857600.

The previous prime is 2738958457. The next prime is 2738958577. The reversal of 2738958480 is 848598372.

It is a happy number.

2738958480 is a `hidden beast` number, since 2 + 73 + 8 + 95 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6696516 + ... + 6696924.

It is an arithmetic number, because the mean of its divisors is an integer number (39258648).

Almost surely, 2^2738958480 is an apocalyptic number.

2738958480 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 2738958480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711037760).

2738958480 is an abundant number, since it is smaller than the sum of its proper divisors (6683117040).

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

2738958480 is a wasteful number, since it uses less digits than its factorization.

2738958480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 2738958480 is about 52335.0597592092. The cubic root of 2738958480 is about 1399.1420730049.

The spelling of 2738958480 in words is "two billion, seven hundred thirty-eight million, nine hundred fifty-eight thousand, four hundred eighty".