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2496437401440 = 253537532163307
BaseRepresentation
bin100100010100111111010…
…000111011011101100000
322211122202000101210201210
4210110333100323131200
5311400200433321230
65150503021230120
7345235021535613
oct44247720733540
98748660353653
102496437401440
11882807916254
123439aba02340
1315154a598b58
1488b8489c17a
1544e10e8aeb0
hex2453f43b760

2496437401440 has 576 divisors, whose sum is σ = 8309048622336. Its totient is φ = 629546950656.

The previous prime is 2496437401327. The next prime is 2496437401459. The reversal of 2496437401440 is 441047346942.

2496437401440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2496437401440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8131717767 + ... + 8131718073.

It is an arithmetic number, because the mean of its divisors is an integer number (14425431636).

Almost surely, 22496437401440 is an apocalyptic number.

2496437401440 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 2496437401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154524311168).

2496437401440 is an abundant number, since it is smaller than the sum of its proper divisors (5812611220896).

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

2496437401440 is a wasteful number, since it uses less digits than its factorization.

2496437401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 2496437401440 in words is "two trillion, four hundred ninety-six billion, four hundred thirty-seven million, four hundred one thousand, four hundred forty".