2732878397088 has 864 divisors, whose sum is σ = 9584460587520. Its totient is φ = 735467765760.

The previous prime is 2732878397077. The next prime is 2732878397099. The reversal of 2732878397088 is 8807938782372.

2732878397088 is a `hidden beast` number, since 2 + 73 + 28 + 78 + 397 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2732878397077) and next prime (2732878397099).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2916625356 + ... + 2916626292.

It is an arithmetic number, because the mean of its divisors is an integer number (11093125680).

Almost surely, 2^{2732878397088} is an apocalyptic number.

2732878397088 is a gapful number since it is divisible by the number (28) 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 2732878397088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792230293760).

2732878397088 is an abundant number, since it is smaller than the sum of its proper divisors (6851582190432).

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

2732878397088 is a wasteful number, since it uses less digits than its factorization.

2732878397088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 2732878397088 in words is "two trillion, seven hundred thirty-two billion, eight hundred seventy-eight million, three hundred ninety-seven thousand, eighty-eight".