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2497379040 = 253951361
BaseRepresentation
bin1001010011011010…
…1111101011100000
320110001021000000000
42110312233223200
520103312112130
61051451300000
7115613241312
oct22466575340
96401230000
102497379040
111071783922
1259844a600
1330a5224a0
1419996b7b2
15e93ae260
hex94dafae0

2497379040 has 480 divisors, whose sum is σ = 9686942496. Its totient is φ = 604661760.

The previous prime is 2497379029. The next prime is 2497379083. The reversal of 2497379040 is 409737942.

2497379040 is a `hidden beast` number, since 2 + 497 + 37 + 90 + 40 = 666.

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

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40940610 + ... + 40940670.

Almost surely, 22497379040 is an apocalyptic number.

2497379040 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 2497379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843471248).

2497379040 is an abundant number, since it is smaller than the sum of its proper divisors (7189563456).

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

2497379040 is an frugal number, since it uses more digits than its factorization.

2497379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2497379040 is about 49973.7835269654. The cubic root of 2497379040 is about 1356.7343504544.

The spelling of 2497379040 in words is "two billion, four hundred ninety-seven million, three hundred seventy-nine thousand, forty".