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2040654000 = 243537211631
BaseRepresentation
bin111100110100001…
…1110100010110000
312021012211222000210
41321220132202300
513134401412000
6534254144120
7101366162400
oct17150364260
95235758023
102040654000
11957994610
1248b4b2040
13266a0c798
1415503c800
15be243350
hex79a1e8b0

2040654000 has 480 divisors, whose sum is σ = 8362179072. Its totient is φ = 423360000.

The previous prime is 2040653987. The next prime is 2040654029. The reversal of 2040654000 is 4560402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3233685 + ... + 3234315.

Almost surely, 22040654000 is an apocalyptic number.

2040654000 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 2040654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181089536).

2040654000 is an abundant number, since it is smaller than the sum of its proper divisors (6321525072).

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

2040654000 is a wasteful number, since it uses less digits than its factorization.

2040654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2040654000 is about 45173.5984840703. The cubic root of 2040654000 is about 1268.4006568909.

The spelling of 2040654000 in words is "two billion, forty million, six hundred fifty-four thousand".