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2245040612640 = 253357283127781
BaseRepresentation
bin100000101010110110110…
…110010010010100100000
321221121211201222201121000
4200222312312102110200
5243240320344101030
64435205111432000
7321125125226400
oct40526666222440
97847751881530
102245040612640
117961309969a1
1230312b685600
13133925014017
147a936772800
153d5ea713860
hex20ab6d92520

2245040612640 has 576 divisors, whose sum is σ = 9250721665920. Its totient is φ = 506965616640.

The previous prime is 2245040612629. The next prime is 2245040612651. The reversal of 2245040612640 is 462160405422.

2245040612640 is a `hidden beast` number, since 2 + 2 + 4 + 5 + 0 + 4 + 0 + 6 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2245040612629) and next prime (2245040612651).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2245040612595 and 2245040612604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17505550 + ... + 17633330.

It is an arithmetic number, because the mean of its divisors is an integer number (16060280670).

Almost surely, 22245040612640 is an apocalyptic number.

2245040612640 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 2245040612640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4625360832960).

2245040612640 is an abundant number, since it is smaller than the sum of its proper divisors (7005681053280).

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

2245040612640 is a wasteful number, since it uses less digits than its factorization.

2245040612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127902 (or 127881 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2245040612640 in words is "two trillion, two hundred forty-five billion, forty million, six hundred twelve thousand, six hundred forty".