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2497740000 = 25354719313
BaseRepresentation
bin1001010011100000…
…0111110011100000
320110001221100010220
42110320013303200
520103410140000
61051503123040
7115616303550
oct22470076340
96401840126
102497740000
111071a00038
125985a3480
1330a61a882
14199a23160
15e94311a0
hex94e07ce0

2497740000 has 480 divisors, whose sum is σ = 9887834880. Its totient is φ = 539136000.

The previous prime is 2497739989. The next prime is 2497740001. The reversal of 2497740000 is 477942.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2497740001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7979844 + ... + 7980156.

It is an arithmetic number, because the mean of its divisors is an integer number (20599656).

Almost surely, 22497740000 is an apocalyptic number.

2497740000 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 2497740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943917440).

2497740000 is an abundant number, since it is smaller than the sum of its proper divisors (7390094880).

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

2497740000 is a wasteful number, since it uses less digits than its factorization.

2497740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2497740000 is about 49977.3948900901. The cubic root of 2497740000 is about 1356.7997127443.

The spelling of 2497740000 in words is "two billion, four hundred ninety-seven million, seven hundred forty thousand".