2697078834240 has 224 divisors, whose sum is σ = 10102238920704. Its totient is φ = 596588820480.

The previous prime is 2697078834217. The next prime is 2697078834257. The reversal of 2697078834240 is 424388707962.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6265084 + ... + 6681723.

It is an arithmetic number, because the mean of its divisors is an integer number (45099280896).

Almost surely, 2^{2697078834240} is an apocalyptic number.

2697078834240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2697078834240 is an abundant number, since it is smaller than the sum of its proper divisors (7405160086464).

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

2697078834240 is a wasteful number, since it uses less digits than its factorization.

2697078834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12946865 (or 12946855 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 2697078834240 in words is "two trillion, six hundred ninety-seven billion, seventy-eight million, eight hundred thirty-four thousand, two hundred forty".