2692315133640 has 640 divisors, whose sum is σ = 10071756414720. Its totient is φ = 639597772800.

The previous prime is 2692315133621. The next prime is 2692315133681. The reversal of 2692315133640 is 463315132962.

2692315133640 is a `hidden beast` number, since 2 + 6 + 9 + 231 + 51 + 3 + 364 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 356075460 + ... + 356083020.

It is an arithmetic number, because the mean of its divisors is an integer number (15737119398).

Almost surely, 2^{2692315133640} is an apocalyptic number.

2692315133640 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 2692315133640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035878207360).

2692315133640 is an abundant number, since it is smaller than the sum of its proper divisors (7379441281080).

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

2692315133640 is a wasteful number, since it uses less digits than its factorization.

2692315133640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7795 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 2692315133640 in words is "two trillion, six hundred ninety-two billion, three hundred fifteen million, one hundred thirty-three thousand, six hundred forty".