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2676742740 = 2233573153431
BaseRepresentation
bin1001111110001011…
…1101101001010100
320220112202121202000
42133202331221110
520440221231430
61121335515300
7123221636460
oct23742755124
96815677660
102676742740
111153a51491
12628528b30
13338732859
141b56db4a0
15109edde60
hex9f8bda54

2676742740 has 384 divisors, whose sum is σ = 10032906240. Its totient is φ = 579571200.

The previous prime is 2676742699. The next prime is 2676742751. The reversal of 2676742740 is 472476762.

It is a super-2 number, since 2×26767427402 = 14329903392285415200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6210325 + ... + 6210755.

It is an arithmetic number, because the mean of its divisors is an integer number (26127360).

Almost surely, 22676742740 is an apocalyptic number.

2676742740 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 2676742740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016453120).

2676742740 is an abundant number, since it is smaller than the sum of its proper divisors (7356163500).

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

2676742740 is a wasteful number, since it uses less digits than its factorization.

2676742740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 2676742740 is about 51737.2471242914. The cubic root of 2676742740 is about 1388.4669432234.

The spelling of 2676742740 in words is "two billion, six hundred seventy-six million, seven hundred forty-two thousand, seven hundred forty".