2700281132640 has 768 divisors, whose sum is σ = 11659700183040. Its totient is φ = 568372101120.

The previous prime is 2700281132629. The next prime is 2700281132651. The reversal of 2700281132640 is 462311820072.

It is a happy number.

2700281132640 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 2 + 8 + 1 + 1 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2700281132629) and next prime (2700281132651).

It is a super-2 number, since 2×2700281132640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2700281132595 and 2700281132604.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 169426752 + ... + 169442688.

It is an arithmetic number, because the mean of its divisors is an integer number (15181901280).

Almost surely, 2^{2700281132640} is an apocalyptic number.

2700281132640 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 2700281132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829850091520).

2700281132640 is an abundant number, since it is smaller than the sum of its proper divisors (8959419050400).

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

2700281132640 is a wasteful number, since it uses less digits than its factorization.

2700281132640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16412 (or 16398 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2700281132640 in words is "two trillion, seven hundred billion, two hundred eighty-one million, one hundred thirty-two thousand, six hundred forty".