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2553279840 = 25335751787
BaseRepresentation
bin1001100000101111…
…1111010101100000
320120221110001111000
42120023333111200
520212114423330
61101205352000
7120162343356
oct23013772540
96527401430
102553279840
1110a0294a31
125b3108600
13318c95697
141a315d7d6
15ee252560
hex982ff560

2553279840 has 192 divisors, whose sum is σ = 8959749120. Its totient is φ = 679104000.

The previous prime is 2553279829. The next prime is 2553279863. The reversal of 2553279840 is 489723552.

2553279840 is a `hidden beast` number, since 2 + 5 + 532 + 79 + 8 + 40 = 666.

2553279840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3243927 + ... + 3244713.

It is an arithmetic number, because the mean of its divisors is an integer number (46665360).

Almost surely, 22553279840 is an apocalyptic number.

2553279840 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 2553279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479874560).

2553279840 is an abundant number, since it is smaller than the sum of its proper divisors (6406469280).

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

2553279840 is a wasteful number, since it uses less digits than its factorization.

2553279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2553279840 is about 50529.9895111804. The cubic root of 2553279840 is about 1366.7826967388.

The spelling of 2553279840 in words is "two billion, five hundred fifty-three million, two hundred seventy-nine thousand, eight hundred forty".