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2694996480 = 293511192373
BaseRepresentation
bin1010000010100010…
…0110001000000000
320221211010000011110
42200220212020000
521004404341410
61123231043320
7123533043411
oct24050461000
96854100143
102694996480
111163289820
12632670540
1333c454197
141b7ccd808
1510b8e7720
hexa0a26200

2694996480 has 640 divisors, whose sum is σ = 10465044480. Its totient is φ = 583925760.

The previous prime is 2694996467. The next prime is 2694996517. The reversal of 2694996480 is 846994962.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2694996480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36917724 + ... + 36917796.

It is an arithmetic number, because the mean of its divisors is an integer number (16351632).

Almost surely, 22694996480 is an apocalyptic number.

2694996480 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 2694996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232522240).

2694996480 is an abundant number, since it is smaller than the sum of its proper divisors (7770048000).

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

2694996480 is a wasteful number, since it uses less digits than its factorization.

2694996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The square root of 2694996480 is about 51913.3555070369. The cubic root of 2694996480 is about 1391.6159595869.

The spelling of 2694996480 in words is "two billion, six hundred ninety-four million, nine hundred ninety-six thousand, four hundred eighty".