2725515282420 has 960 divisors, whose sum is σ = 10354813894656. Its totient is φ = 586993443840.

The previous prime is 2725515282407. The next prime is 2725515282449. The reversal of 2725515282420 is 242825155272.

2725515282420 is a `hidden beast` number, since 2 + 7 + 2 + 551 + 52 + 8 + 2 + 42 + 0 = 666.

It is a super-3 number, since 3×2725515282420³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4841057059 + ... + 4841057621.

Almost surely, 2^{2725515282420} is an apocalyptic number.

2725515282420 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 2725515282420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177406947328).

2725515282420 is an abundant number, since it is smaller than the sum of its proper divisors (7629298612236).

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

2725515282420 is a wasteful number, since it uses less digits than its factorization.

2725515282420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 2725515282420 in words is "two trillion, seven hundred twenty-five billion, five hundred fifteen million, two hundred eighty-two thousand, four hundred twenty".