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2554419840 = 27357316131
BaseRepresentation
bin1001100001000001…
…0101101010000000
320121000120222021020
42120100111222000
520212412413330
61101250025440
7120205132110
oct23020255200
96530528236
102554419840
1110a09a3485
125b3578280
133192a453b
141a3379040
15ee3ca210
hex98415a80

2554419840 has 256 divisors, whose sum is σ = 9607127040. Its totient is φ = 564940800.

The previous prime is 2554419839. The next prime is 2554419841. The reversal of 2554419840 is 489144552.

It is an interprime number because it is at equal distance from previous prime (2554419839) and next prime (2554419841).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2554419792 and 2554419801.

It is not an unprimeable number, because it can be changed into a prime (2554419841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413575 + ... + 419705.

It is an arithmetic number, because the mean of its divisors is an integer number (37527840).

Almost surely, 22554419840 is an apocalyptic number.

2554419840 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 2554419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803563520).

2554419840 is an abundant number, since it is smaller than the sum of its proper divisors (7052707200).

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

2554419840 is a wasteful number, since it uses less digits than its factorization.

2554419840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 2554419840 is about 50541.2686821374. The cubic root of 2554419840 is about 1366.9860822580.

The spelling of 2554419840 in words is "two billion, five hundred fifty-four million, four hundred nineteen thousand, eight hundred forty".