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2421402984 = 2334711133733
BaseRepresentation
bin1001000001010011…
…1010110101101000
320020202022000110000
42100110322311220
514424334343414
61040135023000
7114001404630
oct22024726550
96222260400
102421402984
1110329009a0
12576b0aa60
132c7870840
1418d8316c0
15e28a2b09
hex9053ad68

2421402984 has 320 divisors, whose sum is σ = 9108570240. Its totient is φ = 580400640.

The previous prime is 2421402953. The next prime is 2421403021. The reversal of 2421402984 is 4892041242.

2421402984 is a `hidden beast` number, since 242 + 1 + 402 + 9 + 8 + 4 = 666.

It is a super-3 number, since 3×24214029843 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 646782 + ... + 650514.

It is an arithmetic number, because the mean of its divisors is an integer number (28464282).

Almost surely, 22421402984 is an apocalyptic number.

2421402984 is a gapful number since it is divisible by the number (24) 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 2421402984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554285120).

2421402984 is an abundant number, since it is smaller than the sum of its proper divisors (6687167256).

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

2421402984 is a wasteful number, since it uses less digits than its factorization.

2421402984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2421402984 is about 49207.7532915292. The cubic root of 2421402984 is about 1342.8340893195.

The spelling of 2421402984 in words is "two billion, four hundred twenty-one million, four hundred two thousand, nine hundred eighty-four".