2757120612480 has 1536 divisors, whose sum is σ = 11388060552960. Its totient is φ = 631404232704.

The previous prime is 2757120612479. The next prime is 2757120612517. The reversal of 2757120612480 is 842160217572.

2757120612480 is a `hidden beast` number, since 2 + 7 + 5 + 7 + 1 + 20 + 612 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3333881827 + ... + 3333882653.

Almost surely, 2^{2757120612480} is an apocalyptic number.

2757120612480 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 2757120612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5694030276480).

2757120612480 is an abundant number, since it is smaller than the sum of its proper divisors (8630939940480).

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

2757120612480 is a wasteful number, since it uses less digits than its factorization.

2757120612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 2757120612480 in words is "two trillion, seven hundred fifty-seven billion, one hundred twenty million, six hundred twelve thousand, four hundred eighty".