2698851778560 has 1152 divisors, whose sum is σ = 11143384358400. Its totient is φ = 614587170816.

The previous prime is 2698851778529. The next prime is 2698851778577. The reversal of 2698851778560 is 658771588962.

2698851778560 is a `hidden beast` number, since 2 + 6 + 9 + 8 + 8 + 51 + 7 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 10032906106 + ... + 10032906374.

It is an arithmetic number, because the mean of its divisors is an integer number (9673076700).

Almost surely, 2^{2698851778560} is an apocalyptic number.

2698851778560 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 2698851778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571692179200).

2698851778560 is an abundant number, since it is smaller than the sum of its proper divisors (8444532579840).

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

2698851778560 is an frugal number, since it uses more digits than its factorization.

2698851778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 2698851778560 in words is "two trillion, six hundred ninety-eight billion, eight hundred fifty-one million, seven hundred seventy-eight thousand, five hundred sixty".