2642600400462 has 80 divisors (see below), whose sum is σ = 6462253125504. Its totient is φ = 800470242000.

The previous prime is 2642600400437. The next prime is 2642600400509. The reversal of 2642600400462 is 2640040062462.

2642600400462 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 600 + 4 + 0 + 0 + 46 + 2 = 666.

It is a super-3 number, since 3×2642600400462³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4217287 + ... + 4803197.

Almost surely, 2^{2642600400462} is an apocalyptic number.

2642600400462 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642600400462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231126562752).

2642600400462 is an abundant number, since it is smaller than the sum of its proper divisors (3819652725042).

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

2642600400462 is a wasteful number, since it uses less digits than its factorization.

2642600400462 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588467 (or 588458 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2642600400462 in words is "two trillion, six hundred forty-two billion, six hundred million, four hundred thousand, four hundred sixty-two".