2698431956640 has 768 divisors, whose sum is σ = 11431919923200. Its totient is φ = 580717154304.

The previous prime is 2698431956629. The next prime is 2698431956723. The reversal of 2698431956640 is 466591348962.

2698431956640 is a `hidden beast` number, since 2 + 6 + 98 + 431 + 9 + 56 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93638874 + ... + 93667686.

It is an arithmetic number, because the mean of its divisors is an integer number (14885312400).

Almost surely, 2^{2698431956640} is an apocalyptic number.

2698431956640 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 2698431956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5715959961600).

2698431956640 is an abundant number, since it is smaller than the sum of its proper divisors (8733487966560).

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

2698431956640 is a wasteful number, since it uses less digits than its factorization.

2698431956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29026 (or 29012 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 2698431956640 in words is "two trillion, six hundred ninety-eight billion, four hundred thirty-one million, nine hundred fifty-six thousand, six hundred forty".