2698240970880 has 1536 divisors, whose sum is σ = 11732745024000. Its totient is φ = 556300763136.

The previous prime is 2698240970869. The next prime is 2698240970897. The reversal of 2698240970880 is 880790428962.

2698240970880 is a `hidden beast` number, since 2 + 6 + 9 + 82 + 409 + 70 + 8 + 80 = 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 191 ways as a sum of consecutive naturals, for example, 4742075236 + ... + 4742075804.

It is an arithmetic number, because the mean of its divisors is an integer number (7638505875).

Almost surely, 2^{2698240970880} is an apocalyptic number.

2698240970880 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 2698240970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866372512000).

2698240970880 is an abundant number, since it is smaller than the sum of its proper divisors (9034504053120).

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

2698240970880 is a wasteful number, since it uses less digits than its factorization.

2698240970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 2698240970880 in words is "two trillion, six hundred ninety-eight billion, two hundred forty million, nine hundred seventy thousand, eight hundred eighty".