2715915040440 has 384 divisors, whose sum is σ = 9516782016000. Its totient is φ = 618246300672.

The previous prime is 2715915040439. The next prime is 2715915040451. The reversal of 2715915040440 is 440405195172.

2715915040440 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 2715915040392 and 2715915040401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2540612226 + ... + 2540613294.

It is an arithmetic number, because the mean of its divisors is an integer number (24783286500).

Almost surely, 2^{2715915040440} is an apocalyptic number.

2715915040440 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 2715915040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758391008000).

2715915040440 is an abundant number, since it is smaller than the sum of its proper divisors (6800866975560).

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

2715915040440 is a wasteful number, since it uses less digits than its factorization.

2715915040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 2715915040440 in words is "two trillion, seven hundred fifteen billion, nine hundred fifteen million, forty thousand, four hundred forty".