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2040980760 = 23335713191093
BaseRepresentation
bin111100110100110…
…1110010100011000
312021020110120021000
41321221232110120
513134442341020
6534305145000
7101402023140
oct17151562430
95236416230
102040980760
11958098065
1248b62b160
13266ac5430
141550c5920
15be2aa090
hex79a6e518

2040980760 has 512 divisors, whose sum is σ = 8822016000. Its totient is φ = 407586816.

The previous prime is 2040980749. The next prime is 2040980771. The reversal of 2040980760 is 670890402.

It is an interprime number because it is at equal distance from previous prime (2040980749) and next prime (2040980771).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1866774 + ... + 1867866.

It is an arithmetic number, because the mean of its divisors is an integer number (17230500).

Almost surely, 22040980760 is an apocalyptic number.

2040980760 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 2040980760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411008000).

2040980760 is an abundant number, since it is smaller than the sum of its proper divisors (6781035240).

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

2040980760 is a wasteful number, since it uses less digits than its factorization.

2040980760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2040980760 is about 45177.2150536086. The cubic root of 2040980760 is about 1268.4683542204.

The spelling of 2040980760 in words is "two billion, forty million, nine hundred eighty thousand, seven hundred sixty".