2550954032640 has 2160 divisors, whose sum is σ = 10683628235280. Its totient is φ = 560356392960.

The previous prime is 2550954032569. The next prime is 2550954032647. The reversal of 2550954032640 is 462304590552.

2550954032640 is a `hidden beast` number, since 2 + 5 + 509 + 54 + 0 + 32 + 64 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2550954032647) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 62218391020 + ... + 62218391060.

It is an arithmetic number, because the mean of its divisors is an integer number (4946124183).

Almost surely, 2^{2550954032640} is an apocalyptic number.

2550954032640 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 2550954032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5341814117640).

2550954032640 is an abundant number, since it is smaller than the sum of its proper divisors (8132674202640).

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

2550954032640 is a wasteful number, since it uses less digits than its factorization.

2550954032640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 2550954032640 in words is "two trillion, five hundred fifty billion, nine hundred fifty-four million, thirty-two thousand, six hundred forty".