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2490779822328 = 2332721818214751
BaseRepresentation
bin100100001111101110000…
…010111110100011111000
322211010010201200000012200
4210033232002332203320
5311302104113303303
65144125355510200
7344644563110100
oct44175602764370
98733121600180
102490779822328
11880374303336
12342891158360
13150b584315c5
14887a9346200
1544bce4413a3
hex243ee0be8f8

2490779822328 has 288 divisors, whose sum is σ = 7901855881920. Its totient is φ = 706708800000.

The previous prime is 2490779822303. The next prime is 2490779822341. The reversal of 2490779822328 is 8232289770942.

2490779822328 is a `hidden beast` number, since 2 + 490 + 7 + 7 + 98 + 22 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 524261953 + ... + 524266703.

It is an arithmetic number, because the mean of its divisors is an integer number (27436999590).

Almost surely, 22490779822328 is an apocalyptic number.

2490779822328 is a gapful number since it is divisible by the number (28) 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 2490779822328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950927940960).

2490779822328 is an abundant number, since it is smaller than the sum of its proper divisors (5411076059592).

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

2490779822328 is a wasteful number, since it uses less digits than its factorization.

2490779822328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5779 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 2490779822328 in words is "two trillion, four hundred ninety billion, seven hundred seventy-nine million, eight hundred twenty-two thousand, three hundred twenty-eight".