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2790842040 = 233457217579
BaseRepresentation
bin1010011001011000…
…1101111010111000
321012111110110120000
42212112031322320
521203423421130
61140533233000
7126105523500
oct24626157270
97174413500
102790842040
1112023a2a28
1265a792760
13356271a2c
141c691ca00
1511502b260
hexa658deb8

2790842040 has 240 divisors, whose sum is σ = 10912433400. Its totient is φ = 637870464.

The previous prime is 2790842027. The next prime is 2790842051. The reversal of 2790842040 is 402480972.

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

It is a junction number, because it is equal to n+sod(n) for n = 2790841986 and 2790842004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149971 + ... + 167549.

Almost surely, 22790842040 is an apocalyptic number.

2790842040 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 2790842040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5456216700).

2790842040 is an abundant number, since it is smaller than the sum of its proper divisors (8121591360).

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

2790842040 is a wasteful number, since it uses less digits than its factorization.

2790842040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17616 (or 17596 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2790842040 is about 52828.4207600417. The cubic root of 2790842040 is about 1407.9214280685.

The spelling of 2790842040 in words is "two billion, seven hundred ninety million, eight hundred forty-two thousand, forty".