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2495993940 = 223651179197
BaseRepresentation
bin1001010011000101…
…1101100001010100
320102221122122000000
42110301131201110
520102433301230
61051401451300
7115565412156
oct22461354124
96387578000
102495993940
111070a18210
12597aa0b30
1330a158bbb
141996caad6
15e91d8b60
hex94c5d854

2495993940 has 336 divisors, whose sum is σ = 8725812480. Its totient is φ = 594397440.

The previous prime is 2495993909. The next prime is 2495994049. The reversal of 2495993940 is 493995942.

2495993940 is a `hidden beast` number, since 2 + 4 + 9 + 599 + 3 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12669922 + ... + 12670118.

It is an arithmetic number, because the mean of its divisors is an integer number (25969680).

Almost surely, 22495993940 is an apocalyptic number.

2495993940 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 2495993940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362906240).

2495993940 is an abundant number, since it is smaller than the sum of its proper divisors (6229818540).

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

2495993940 is a wasteful number, since it uses less digits than its factorization.

2495993940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The square root of 2495993940 is about 49959.9233386121. The cubic root of 2495993940 is about 1356.4834794088.

The spelling of 2495993940 in words is "two billion, four hundred ninety-five million, nine hundred ninety-three thousand, nine hundred forty".