2659797469440 has 432 divisors, whose sum is σ = 9415069267968. Its totient is φ = 692959002624.

The previous prime is 2659797469403. The next prime is 2659797469477. The reversal of 2659797469440 is 449647979562.

It is a happy number.

2659797469440 is a `hidden beast` number, since 2 + 6 + 5 + 97 + 97 + 4 + 6 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2659797469403) and next prime (2659797469477).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328650034 + ... + 328658126.

It is an arithmetic number, because the mean of its divisors is an integer number (21794141824).

Almost surely, 2^{2659797469440} is an apocalyptic number.

2659797469440 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 2659797469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707534633984).

2659797469440 is an abundant number, since it is smaller than the sum of its proper divisors (6755271798528).

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

2659797469440 is a wasteful number, since it uses less digits than its factorization.

2659797469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8774 (or 8757 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 2659797469440 in words is "two trillion, six hundred fifty-nine billion, seven hundred ninety-seven million, four hundred sixty-nine thousand, four hundred forty".