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2474166420 = 223251131173233
BaseRepresentation
bin1001001101111000…
…1100100010010100
320101102120200021100
42103132030202110
520031341311140
61045301550100
7115212032115
oct22336144224
96342520240
102474166420
11105a669940
12590715330
133057859cb
1419684820c
15e7326530
hex9378c894

2474166420 has 288 divisors, whose sum is σ = 8536679424. Its totient is φ = 574617600.

The previous prime is 2474166353. The next prime is 2474166427. The reversal of 2474166420 is 246614742.

2474166420 is a `hidden beast` number, since 2 + 4 + 7 + 4 + 1 + 6 + 642 + 0 = 666.

It is a super-2 number, since 2×24741664202 = 12242998947711232800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2474166427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10618624 + ... + 10618856.

It is an arithmetic number, because the mean of its divisors is an integer number (29641248).

Almost surely, 22474166420 is an apocalyptic number.

2474166420 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 2474166420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268339712).

2474166420 is an abundant number, since it is smaller than the sum of its proper divisors (6062513004).

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

2474166420 is a wasteful number, since it uses less digits than its factorization.

2474166420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2474166420 is about 49740.9933555815. The cubic root of 2474166420 is about 1352.5177377369.

The spelling of 2474166420 in words is "two billion, four hundred seventy-four million, one hundred sixty-six thousand, four hundred twenty".