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2493915072 = 263111923271
BaseRepresentation
bin1001010010100110…
…0001111111000000
320102210202000022220
42110221201333000
520101420240242
61051245131040
7115541633265
oct22451417700
96383660286
102493915072
11106a828340
12597259a80
133098ab8bc
1419930926c
15e8e27bec
hex94a61fc0

2493915072 has 168 divisors, whose sum is σ = 7599468672. Its totient is φ = 715737600.

The previous prime is 2493915043. The next prime is 2493915089. The reversal of 2493915072 is 2705193942.

It is a super-2 number, since 2×24939150722 = 12439224772697530368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760797 + ... + 764067.

Almost surely, 22493915072 is an apocalyptic number.

2493915072 is a gapful number since it is divisible by the number (22) 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 2493915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799734336).

2493915072 is an abundant number, since it is smaller than the sum of its proper divisors (5105553600).

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

2493915072 is a wasteful number, since it uses less digits than its factorization.

2493915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 2493915072 is about 49939.1136485220. The cubic root of 2493915072 is about 1356.1067779927.

The spelling of 2493915072 in words is "two billion, four hundred ninety-three million, nine hundred fifteen thousand, seventy-two".