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2040978254724 = 223523237107279
BaseRepresentation
bin11101101100110011110…
…010001010101110000100
321020010010021122212200000
4131230303302022232010
5231414410413122344
64201340143121300
7300312225631323
oct35546362125604
97203107585600
102040978254724
11717635020102
1228b67b5a3230
1311a6041ac186
1470ad8d480ba
15381557eca69
hex1db33c8ab84

2040978254724 has 216 divisors, whose sum is σ = 5744165132160. Its totient is φ = 633153039552.

The previous prime is 2040978254677. The next prime is 2040978254729. The reversal of 2040978254724 is 4274528790402.

2040978254724 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 9 + 78 + 2 + 547 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2040978254729) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18971317 + ... + 19078595.

Almost surely, 22040978254724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040978254724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872082566080).

2040978254724 is an abundant number, since it is smaller than the sum of its proper divisors (3703186877436).

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

2040978254724 is a wasteful number, since it uses less digits than its factorization.

2040978254724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107381 (or 107344 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2040978254724 in words is "two trillion, forty billion, nine hundred seventy-eight million, two hundred fifty-four thousand, seven hundred twenty-four".