2692736820480 has 576 divisors, whose sum is σ = 10284749733888. Its totient is φ = 587455856640.

The previous prime is 2692736820427. The next prime is 2692736820509. The reversal of 2692736820480 is 840286372962.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2692736820480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60807307 + ... + 60851573.

It is an arithmetic number, because the mean of its divisors is an integer number (17855468288).

Almost surely, 2^{2692736820480} is an apocalyptic number.

2692736820480 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 2692736820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142374866944).

2692736820480 is an abundant number, since it is smaller than the sum of its proper divisors (7592012913408).

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

2692736820480 is a wasteful number, since it uses less digits than its factorization.

2692736820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44402 (or 44388 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 2692736820480 in words is "two trillion, six hundred ninety-two billion, seven hundred thirty-six million, eight hundred twenty thousand, four hundred eighty".