2676157387200 has 1512 divisors, whose sum is σ = 11084637673200. Its totient is φ = 610202419200.

The previous prime is 2676157387109. The next prime is 2676157387231. The reversal of 2676157387200 is 27837516762.

It is a happy number.

2676157387200 is a `hidden beast` number, since 2 + 6 + 7 + 6 + 1 + 57 + 387 + 200 = 666.

It is a super-2 number, since 2×2676157387200² (a number of 26 digits) contains 22 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 215 ways as a sum of consecutive naturals, for example, 7581182224 + ... + 7581182576.

Almost surely, 2^{2676157387200} is an apocalyptic number.

2676157387200 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 2676157387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5542318836600).

2676157387200 is an abundant number, since it is smaller than the sum of its proper divisors (8408480286000).

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

2676157387200 is a wasteful number, since it uses less digits than its factorization.

2676157387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 2676157387200 in words is "two trillion, six hundred seventy-six billion, one hundred fifty-seven million, three hundred eighty-seven thousand, two hundred".