2540053695600 has 600 divisors, whose sum is σ = 9587656826880. Its totient is φ = 642772247040.

The previous prime is 2540053695593. The next prime is 2540053695629. The reversal of 2540053695600 is 65963500452.

2540053695600 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 0 + 5 + 36 + 9 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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 119 ways as a sum of consecutive naturals, for example, 94626981 + ... + 94653819.

Almost surely, 2^{2540053695600} is an apocalyptic number.

2540053695600 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 2540053695600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793828413440).

2540053695600 is an abundant number, since it is smaller than the sum of its proper divisors (7047603131280).

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

2540053695600 is a wasteful number, since it uses less digits than its factorization.

2540053695600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27019 (or 26999 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 2540053695600 in words is "two trillion, five hundred forty billion, fifty-three million, six hundred ninety-five thousand, six hundred".