2507028369120 has 1920 divisors, whose sum is σ = 10413686384640. Its totient is φ = 566712115200.

The previous prime is 2507028369073. The next prime is 2507028369149. The reversal of 2507028369120 is 219638207052.

2507028369120 is a `hidden beast` number, since 2 + 507 + 0 + 2 + 8 + 36 + 91 + 20 = 666.

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

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 28168858036 + ... + 28168858124.

It is an arithmetic number, because the mean of its divisors is an integer number (5423794992).

Almost surely, 2^{2507028369120} is an apocalyptic number.

2507028369120 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 2507028369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206843192320).

2507028369120 is an abundant number, since it is smaller than the sum of its proper divisors (7906658015520).

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

2507028369120 is a wasteful number, since it uses less digits than its factorization.

2507028369120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 2507028369120 in words is "two trillion, five hundred seven billion, twenty-eight million, three hundred sixty-nine thousand, one hundred twenty".