2577468937680 has 960 divisors, whose sum is σ = 11294751756288. Its totient is φ = 512036536320.

The previous prime is 2577468937651. The next prime is 2577468937721. The reversal of 2577468937680 is 867398647752.

2577468937680 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 468 + 93 + 76 + 8 + 0 = 666.

It is a super-2 number, since 2×2577468937680² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2577468937599 and 2577468937608.

It is a congruent number.

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, 75134292 + ... + 75168588.

Almost surely, 2^{2577468937680} is an apocalyptic number.

2577468937680 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 2577468937680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647375878144).

2577468937680 is an abundant number, since it is smaller than the sum of its proper divisors (8717282818608).

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

2577468937680 is a wasteful number, since it uses less digits than its factorization.

2577468937680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34404 (or 34395 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 2577468937680 in words is "two trillion, five hundred seventy-seven billion, four hundred sixty-eight million, nine hundred thirty-seven thousand, six hundred eighty".