2540851940025 has 729 divisors, whose sum is σ = 6064218095949. Its totient is φ = 1013634155520.

The previous prime is 2540851940023. The next prime is 2540851940047. The reversal of 2540851940025 is 5200491580452.

2540851940025 = 1³ + 2³ + ... + 1785³.

The square root of 2540851940025 is 1594005.

It is a perfect power (a square), and thus also a powerful number.

2540851940025 is a `hidden beast` number, since 2 + 540 + 85 + 1 + 9 + 4 + 0 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59433076521 + 2481418863504 = 243789^2 + 1575252^2 .

It is not a de Polignac number, because 2540851940025 - 2¹ = 2540851940023 is a prime.

It is a super-4 number, since 4×2540851940025⁴ (a number of 51 digits) contains 4444 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 not an unprimeable number, because it can be changed into a prime (2540851940023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 54060679552 + ... + 54060679598.

Almost surely, 2^{2540851940025} is an apocalyptic number.

2540851940025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2540851940025 is the 1594005-th square number.

2540851940025 is the 797003-rd centered octagonal number.

It is an amenable number.

2540851940025 is an abundant number, since it is smaller than the sum of its proper divisors (3523366155924).

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

2540851940025 is a wasteful number, since it uses less digits than its factorization.

2540851940025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 2540851940025 in words is "two trillion, five hundred forty billion, eight hundred fifty-one million, nine hundred forty thousand, twenty-five".