2615128842496 has 81 divisors (see below), whose sum is σ = 5323183421101. Its totient is φ = 1282220665856.

The previous prime is 2615128842467. The next prime is 2615128842499. The reversal of 2615128842496 is 6942488215162.

The square root of 2615128842496 is 1617136.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1885238841600 + 729890000896 = 1373040^2 + 854336^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2615128842496.

It is not an unprimeable number, because it can be changed into a prime (2615128842499) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1371330375 + ... + 1371332281.

Almost surely, 2^{2615128842496} is an apocalyptic number.

2615128842496 is the 1617136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2615128842496

2615128842496 is an abundant number, since it is smaller than the sum of its proper divisors (2708054578605).

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

2615128842496 is an frugal number, since it uses more digits than its factorization.

2615128842496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936 (or 1962 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 58.

The spelling of 2615128842496 in words is "two trillion, six hundred fifteen billion, one hundred twenty-eight million, eight hundred forty-two thousand, four hundred ninety-six".