2642998353408 has 640 divisors, whose sum is σ = 9133076874240. Its totient is φ = 739090759680.

The previous prime is 2642998353407. The next prime is 2642998353419. The reversal of 2642998353408 is 8043538992462.

It is a happy number.

2642998353408 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 9 + 98 + 3 + 534 + 0 + 8 = 666.

It is a super-2 number, since 2×2642998353408² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642998353407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 967775403 + ... + 967778133.

It is an arithmetic number, because the mean of its divisors is an integer number (14270432616).

Almost surely, 2^{2642998353408} is an apocalyptic number.

2642998353408 is a gapful number since it is divisible by the number (28) 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 2642998353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566538437120).

2642998353408 is an abundant number, since it is smaller than the sum of its proper divisors (6490078520832).

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

2642998353408 is a wasteful number, since it uses less digits than its factorization.

2642998353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 2642998353408 in words is "two trillion, six hundred forty-two billion, nine hundred ninety-eight million, three hundred fifty-three thousand, four hundred eight".