2715998040 has 320 divisors, whose sum is σ = 10772213760. Its totient is φ = 600618240.

The previous prime is 2715998029. The next prime is 2715998083. The reversal of 2715998040 is 408995172.

2715998040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 701149 + ... + 705011.

It is an arithmetic number, because the mean of its divisors is an integer number (33663168).

Almost surely, 2^2715998040 is an apocalyptic number.

2715998040 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 2715998040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386106880).

2715998040 is an abundant number, since it is smaller than the sum of its proper divisors (8056215720).

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

2715998040 is a wasteful number, since it uses less digits than its factorization.

2715998040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3924 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2715998040 is about 52115.2380787040. The cubic root of 2715998040 is about 1395.2214702139.

The spelling of 2715998040 in words is "two billion, seven hundred fifteen million, nine hundred ninety-eight thousand, forty".