2738948040 has 256 divisors, whose sum is σ = 9695232000. Its totient is φ = 685843200.

The previous prime is 2738948039. The next prime is 2738948089. The reversal of 2738948040 is 408498372.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2605515 + ... + 2606565.

It is an arithmetic number, because the mean of its divisors is an integer number (37872000).

Almost surely, 2^2738948040 is an apocalyptic number.

2738948040 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 2738948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847616000).

2738948040 is an abundant number, since it is smaller than the sum of its proper divisors (6956283960).

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

2738948040 is a wasteful number, since it uses less digits than its factorization.

2738948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2738948040 is about 52334.9600171816. The cubic root of 2738948040 is about 1399.1402953144.

The spelling of 2738948040 in words is "two billion, seven hundred thirty-eight million, nine hundred forty-eight thousand, forty".