2735097548280 has 128 divisors (see below), whose sum is σ = 8371912619520. Its totient is φ = 714674741760.

The previous prime is 2735097548263. The next prime is 2735097548389. The reversal of 2735097548280 is 828457905372.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404034 + ... + 2373486.

It is an arithmetic number, because the mean of its divisors is an integer number (65405567340).

Almost surely, 2^{2735097548280} is an apocalyptic number.

2735097548280 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 2735097548280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185956309760).

2735097548280 is an abundant number, since it is smaller than the sum of its proper divisors (5636815071240).

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

2735097548280 is a wasteful number, since it uses less digits than its factorization.

2735097548280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969701 (or 1969697 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 2735097548280 in words is "two trillion, seven hundred thirty-five billion, ninety-seven million, five hundred forty-eight thousand, two hundred eighty".